-(6+6b)-7(b-5)=1-5b+4

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Solution for -(6+6b)-7(b-5)=1-5b+4 equation:


Simplifying
-1(6 + 6b) + -7(b + -5) = 1 + -5b + 4
(6 * -1 + 6b * -1) + -7(b + -5) = 1 + -5b + 4
(-6 + -6b) + -7(b + -5) = 1 + -5b + 4

Reorder the terms:
-6 + -6b + -7(-5 + b) = 1 + -5b + 4
-6 + -6b + (-5 * -7 + b * -7) = 1 + -5b + 4
-6 + -6b + (35 + -7b) = 1 + -5b + 4

Reorder the terms:
-6 + 35 + -6b + -7b = 1 + -5b + 4

Combine like terms: -6 + 35 = 29
29 + -6b + -7b = 1 + -5b + 4

Combine like terms: -6b + -7b = -13b
29 + -13b = 1 + -5b + 4

Reorder the terms:
29 + -13b = 1 + 4 + -5b

Combine like terms: 1 + 4 = 5
29 + -13b = 5 + -5b

Solving
29 + -13b = 5 + -5b

Solving for variable 'b'.

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

Add '5b' to each side of the equation.
29 + -13b + 5b = 5 + -5b + 5b

Combine like terms: -13b + 5b = -8b
29 + -8b = 5 + -5b + 5b

Combine like terms: -5b + 5b = 0
29 + -8b = 5 + 0
29 + -8b = 5

Add '-29' to each side of the equation.
29 + -29 + -8b = 5 + -29

Combine like terms: 29 + -29 = 0
0 + -8b = 5 + -29
-8b = 5 + -29

Combine like terms: 5 + -29 = -24
-8b = -24

Divide each side by '-8'.
b = 3

Simplifying
b = 3

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