4(2b+3)=-3(b-1)+20

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Solution for 4(2b+3)=-3(b-1)+20 equation:


Simplifying
4(2b + 3) = -3(b + -1) + 20

Reorder the terms:
4(3 + 2b) = -3(b + -1) + 20
(3 * 4 + 2b * 4) = -3(b + -1) + 20
(12 + 8b) = -3(b + -1) + 20

Reorder the terms:
12 + 8b = -3(-1 + b) + 20
12 + 8b = (-1 * -3 + b * -3) + 20
12 + 8b = (3 + -3b) + 20

Reorder the terms:
12 + 8b = 3 + 20 + -3b

Combine like terms: 3 + 20 = 23
12 + 8b = 23 + -3b

Solving
12 + 8b = 23 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
12 + 8b + 3b = 23 + -3b + 3b

Combine like terms: 8b + 3b = 11b
12 + 11b = 23 + -3b + 3b

Combine like terms: -3b + 3b = 0
12 + 11b = 23 + 0
12 + 11b = 23

Add '-12' to each side of the equation.
12 + -12 + 11b = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 11b = 23 + -12
11b = 23 + -12

Combine like terms: 23 + -12 = 11
11b = 11

Divide each side by '11'.
b = 1

Simplifying
b = 1

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