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

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


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

Combine like terms: 105 + -8 = 97
50 + -15b = 97 + 44 + -16b

Combine like terms: 97 + 44 = 141
50 + -15b = 141 + -16b

Solving
50 + -15b = 141 + -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.
50 + -15b + 16b = 141 + -16b + 16b

Combine like terms: -15b + 16b = 1b
50 + 1b = 141 + -16b + 16b

Combine like terms: -16b + 16b = 0
50 + 1b = 141 + 0
50 + 1b = 141

Add '-50' to each side of the equation.
50 + -50 + 1b = 141 + -50

Combine like terms: 50 + -50 = 0
0 + 1b = 141 + -50
1b = 141 + -50

Combine like terms: 141 + -50 = 91
1b = 91

Divide each side by '1'.
b = 91

Simplifying
b = 91

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