4(b+10)=8(2b-7)

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Solution for 4(b+10)=8(2b-7) equation:


Simplifying
4(b + 10) = 8(2b + -7)

Reorder the terms:
4(10 + b) = 8(2b + -7)
(10 * 4 + b * 4) = 8(2b + -7)
(40 + 4b) = 8(2b + -7)

Reorder the terms:
40 + 4b = 8(-7 + 2b)
40 + 4b = (-7 * 8 + 2b * 8)
40 + 4b = (-56 + 16b)

Solving
40 + 4b = -56 + 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.
40 + 4b + -16b = -56 + 16b + -16b

Combine like terms: 4b + -16b = -12b
40 + -12b = -56 + 16b + -16b

Combine like terms: 16b + -16b = 0
40 + -12b = -56 + 0
40 + -12b = -56

Add '-40' to each side of the equation.
40 + -40 + -12b = -56 + -40

Combine like terms: 40 + -40 = 0
0 + -12b = -56 + -40
-12b = -56 + -40

Combine like terms: -56 + -40 = -96
-12b = -96

Divide each side by '-12'.
b = 8

Simplifying
b = 8

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