13b-3(b-8)=12+2(b-3)

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Solution for 13b-3(b-8)=12+2(b-3) equation:


Simplifying
13b + -3(b + -8) = 12 + 2(b + -3)

Reorder the terms:
13b + -3(-8 + b) = 12 + 2(b + -3)
13b + (-8 * -3 + b * -3) = 12 + 2(b + -3)
13b + (24 + -3b) = 12 + 2(b + -3)

Reorder the terms:
24 + 13b + -3b = 12 + 2(b + -3)

Combine like terms: 13b + -3b = 10b
24 + 10b = 12 + 2(b + -3)

Reorder the terms:
24 + 10b = 12 + 2(-3 + b)
24 + 10b = 12 + (-3 * 2 + b * 2)
24 + 10b = 12 + (-6 + 2b)

Combine like terms: 12 + -6 = 6
24 + 10b = 6 + 2b

Solving
24 + 10b = 6 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
24 + 10b + -2b = 6 + 2b + -2b

Combine like terms: 10b + -2b = 8b
24 + 8b = 6 + 2b + -2b

Combine like terms: 2b + -2b = 0
24 + 8b = 6 + 0
24 + 8b = 6

Add '-24' to each side of the equation.
24 + -24 + 8b = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 8b = 6 + -24
8b = 6 + -24

Combine like terms: 6 + -24 = -18
8b = -18

Divide each side by '8'.
b = -2.25

Simplifying
b = -2.25

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