-5(2b+7)+6=-b-11

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Solution for -5(2b+7)+6=-b-11 equation:


Simplifying
-5(2b + 7) + 6 = -1b + -11

Reorder the terms:
-5(7 + 2b) + 6 = -1b + -11
(7 * -5 + 2b * -5) + 6 = -1b + -11
(-35 + -10b) + 6 = -1b + -11

Reorder the terms:
-35 + 6 + -10b = -1b + -11

Combine like terms: -35 + 6 = -29
-29 + -10b = -1b + -11

Reorder the terms:
-29 + -10b = -11 + -1b

Solving
-29 + -10b = -11 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
-29 + -10b + b = -11 + -1b + b

Combine like terms: -10b + b = -9b
-29 + -9b = -11 + -1b + b

Combine like terms: -1b + b = 0
-29 + -9b = -11 + 0
-29 + -9b = -11

Add '29' to each side of the equation.
-29 + 29 + -9b = -11 + 29

Combine like terms: -29 + 29 = 0
0 + -9b = -11 + 29
-9b = -11 + 29

Combine like terms: -11 + 29 = 18
-9b = 18

Divide each side by '-9'.
b = -2

Simplifying
b = -2

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