Answer :
To solve the equation \(((-70):(-2):(-7) = (+35):(-7))\), let's break it down step by step and simplify both sides of the equation:
### Simplify the Left-Hand Side
The left-hand side of the equation is \((-70) : (-2) : (-7)\).
1. Step 1: Divide \(-70\) by \(-2\):
[tex]\[ -70 \div -2 = 35 \][/tex]
2. Step 2: Divide \(35\) (the result from Step 1) by \(-7\):
[tex]\[ 35 \div -7 = -5 \][/tex]
So, the left-hand side simplifies to:
[tex]\[ (((-70):(-2):(-7)) = -5 \][/tex]
### Simplify the Right-Hand Side
The right-hand side of the equation is \((+35) : (-7)\).
1. Step 1: Divide \(35\) by \(-7\):
[tex]\[ 35 \div -7 = -5 \][/tex]
So, the right-hand side simplifies to:
[tex]\[ ((+35):(-7)) = -5 \][/tex]
### Conclusion
Both sides of the equation simplify to \(-5\). Therefore, the equation \(((-70):(-2):(-7) = (+35):(-7))\) holds true, and we have:
[tex]\[ -5 = -5 \][/tex]
This confirms that both sides of the equation are equal.
### Simplify the Left-Hand Side
The left-hand side of the equation is \((-70) : (-2) : (-7)\).
1. Step 1: Divide \(-70\) by \(-2\):
[tex]\[ -70 \div -2 = 35 \][/tex]
2. Step 2: Divide \(35\) (the result from Step 1) by \(-7\):
[tex]\[ 35 \div -7 = -5 \][/tex]
So, the left-hand side simplifies to:
[tex]\[ (((-70):(-2):(-7)) = -5 \][/tex]
### Simplify the Right-Hand Side
The right-hand side of the equation is \((+35) : (-7)\).
1. Step 1: Divide \(35\) by \(-7\):
[tex]\[ 35 \div -7 = -5 \][/tex]
So, the right-hand side simplifies to:
[tex]\[ ((+35):(-7)) = -5 \][/tex]
### Conclusion
Both sides of the equation simplify to \(-5\). Therefore, the equation \(((-70):(-2):(-7) = (+35):(-7))\) holds true, and we have:
[tex]\[ -5 = -5 \][/tex]
This confirms that both sides of the equation are equal.
