10b+5+b+3=-4(1+7b)+11(4b+2)

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Solution for 10b+5+b+3=-4(1+7b)+11(4b+2) equation:


Simplifying
10b + 5 + b + 3 = -4(1 + 7b) + 11(4b + 2)

Reorder the terms:
5 + 3 + 10b + b = -4(1 + 7b) + 11(4b + 2)

Combine like terms: 5 + 3 = 8
8 + 10b + b = -4(1 + 7b) + 11(4b + 2)

Combine like terms: 10b + b = 11b
8 + 11b = -4(1 + 7b) + 11(4b + 2)
8 + 11b = (1 * -4 + 7b * -4) + 11(4b + 2)
8 + 11b = (-4 + -28b) + 11(4b + 2)

Reorder the terms:
8 + 11b = -4 + -28b + 11(2 + 4b)
8 + 11b = -4 + -28b + (2 * 11 + 4b * 11)
8 + 11b = -4 + -28b + (22 + 44b)

Reorder the terms:
8 + 11b = -4 + 22 + -28b + 44b

Combine like terms: -4 + 22 = 18
8 + 11b = 18 + -28b + 44b

Combine like terms: -28b + 44b = 16b
8 + 11b = 18 + 16b

Solving
8 + 11b = 18 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
8 + 11b + -16b = 18 + 16b + -16b

Combine like terms: 11b + -16b = -5b
8 + -5b = 18 + 16b + -16b

Combine like terms: 16b + -16b = 0
8 + -5b = 18 + 0
8 + -5b = 18

Add '-8' to each side of the equation.
8 + -8 + -5b = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -5b = 18 + -8
-5b = 18 + -8

Combine like terms: 18 + -8 = 10
-5b = 10

Divide each side by '-5'.
b = -2

Simplifying
b = -2

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