-7(1-5b)=-7(-5b+8)+7b

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Solution for -7(1-5b)=-7(-5b+8)+7b equation:


Simplifying
-7(1 + -5b) = -7(-5b + 8) + 7b
(1 * -7 + -5b * -7) = -7(-5b + 8) + 7b
(-7 + 35b) = -7(-5b + 8) + 7b

Reorder the terms:
-7 + 35b = -7(8 + -5b) + 7b
-7 + 35b = (8 * -7 + -5b * -7) + 7b
-7 + 35b = (-56 + 35b) + 7b

Combine like terms: 35b + 7b = 42b
-7 + 35b = -56 + 42b

Solving
-7 + 35b = -56 + 42b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-42b' to each side of the equation.
-7 + 35b + -42b = -56 + 42b + -42b

Combine like terms: 35b + -42b = -7b
-7 + -7b = -56 + 42b + -42b

Combine like terms: 42b + -42b = 0
-7 + -7b = -56 + 0
-7 + -7b = -56

Add '7' to each side of the equation.
-7 + 7 + -7b = -56 + 7

Combine like terms: -7 + 7 = 0
0 + -7b = -56 + 7
-7b = -56 + 7

Combine like terms: -56 + 7 = -49
-7b = -49

Divide each side by '-7'.
b = 7

Simplifying
b = 7

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