9b-3(b-4)=13+2(b-3)

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Solution for 9b-3(b-4)=13+2(b-3) equation:


Simplifying
9b + -3(b + -4) = 13 + 2(b + -3)

Reorder the terms:
9b + -3(-4 + b) = 13 + 2(b + -3)
9b + (-4 * -3 + b * -3) = 13 + 2(b + -3)
9b + (12 + -3b) = 13 + 2(b + -3)

Reorder the terms:
12 + 9b + -3b = 13 + 2(b + -3)

Combine like terms: 9b + -3b = 6b
12 + 6b = 13 + 2(b + -3)

Reorder the terms:
12 + 6b = 13 + 2(-3 + b)
12 + 6b = 13 + (-3 * 2 + b * 2)
12 + 6b = 13 + (-6 + 2b)

Combine like terms: 13 + -6 = 7
12 + 6b = 7 + 2b

Solving
12 + 6b = 7 + 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.
12 + 6b + -2b = 7 + 2b + -2b

Combine like terms: 6b + -2b = 4b
12 + 4b = 7 + 2b + -2b

Combine like terms: 2b + -2b = 0
12 + 4b = 7 + 0
12 + 4b = 7

Add '-12' to each side of the equation.
12 + -12 + 4b = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 4b = 7 + -12
4b = 7 + -12

Combine like terms: 7 + -12 = -5
4b = -5

Divide each side by '4'.
b = -1.25

Simplifying
b = -1.25

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