5(10+-3b)=105-8b+4(11-4b)

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Solution for 5(10+-3b)=105-8b+4(11-4b) equation: 


Simplifying
5(10 + -3b) = 105 + -8b + 4(11 + -4b)
(10 * 5 + -3b * 5) = 105 + -8b + 4(11 + -4b)
(50 + -15b) = 105 + -8b + 4(11 + -4b)
50 + -15b = 105 + -8b + (11 * 4 + -4b * 4)
50 + -15b = 105 + -8b + (44 + -16b)

Reorder the terms:
50 + -15b = 105 + 44 + -8b + -16b

Combine like terms: 105 + 44 = 149
50 + -15b = 149 + -8b + -16b

Combine like terms: -8b + -16b = -24b
50 + -15b = 149 + -24b

Solving
50 + -15b = 149 + -24b

Solving for variable 'b'.

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

Add '24b' to each side of the equation.
50 + -15b + 24b = 149 + -24b + 24b

Combine like terms: -15b + 24b = 9b
50 + 9b = 149 + -24b + 24b

Combine like terms: -24b + 24b = 0
50 + 9b = 149 + 0
50 + 9b = 149

Add '-50' to each side of the equation.
50 + -50 + 9b = 149 + -50

Combine like terms: 50 + -50 = 0
0 + 9b = 149 + -50
9b = 149 + -50

Combine like terms: 149 + -50 = 99
9b = 99

Divide each side by '9'.
b = 11

Simplifying
b = 11

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