b+2(9-3b)=.75(-8b+12)

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Solution for b+2(9-3b)=.75(-8b+12) equation:


Simplifying
b + 2(9 + -3b) = 0.75(-8b + 12)
b + (9 * 2 + -3b * 2) = 0.75(-8b + 12)
b + (18 + -6b) = 0.75(-8b + 12)

Reorder the terms:
18 + b + -6b = 0.75(-8b + 12)

Combine like terms: b + -6b = -5b
18 + -5b = 0.75(-8b + 12)

Reorder the terms:
18 + -5b = 0.75(12 + -8b)
18 + -5b = (12 * 0.75 + -8b * 0.75)
18 + -5b = (9 + -6b)

Solving
18 + -5b = 9 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
18 + -5b + 6b = 9 + -6b + 6b

Combine like terms: -5b + 6b = 1b
18 + 1b = 9 + -6b + 6b

Combine like terms: -6b + 6b = 0
18 + 1b = 9 + 0
18 + 1b = 9

Add '-18' to each side of the equation.
18 + -18 + 1b = 9 + -18

Combine like terms: 18 + -18 = 0
0 + 1b = 9 + -18
1b = 9 + -18

Combine like terms: 9 + -18 = -9
1b = -9

Divide each side by '1'.
b = -9

Simplifying
b = -9

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