-5b+6(7-5b)=-8(b+7)-10

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Solution for -5b+6(7-5b)=-8(b+7)-10 equation: 


Simplifying
-5b + 6(7 + -5b) = -8(b + 7) + -10
-5b + (7 * 6 + -5b * 6) = -8(b + 7) + -10
-5b + (42 + -30b) = -8(b + 7) + -10

Reorder the terms:
42 + -5b + -30b = -8(b + 7) + -10

Combine like terms: -5b + -30b = -35b
42 + -35b = -8(b + 7) + -10

Reorder the terms:
42 + -35b = -8(7 + b) + -10
42 + -35b = (7 * -8 + b * -8) + -10
42 + -35b = (-56 + -8b) + -10

Reorder the terms:
42 + -35b = -56 + -10 + -8b

Combine like terms: -56 + -10 = -66
42 + -35b = -66 + -8b

Solving
42 + -35b = -66 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
42 + -35b + 8b = -66 + -8b + 8b

Combine like terms: -35b + 8b = -27b
42 + -27b = -66 + -8b + 8b

Combine like terms: -8b + 8b = 0
42 + -27b = -66 + 0
42 + -27b = -66

Add '-42' to each side of the equation.
42 + -42 + -27b = -66 + -42

Combine like terms: 42 + -42 = 0
0 + -27b = -66 + -42
-27b = -66 + -42

Combine like terms: -66 + -42 = -108
-27b = -108

Divide each side by '-27'.
b = 4

Simplifying
b = 4

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