9(b+2)=-6(4-b)+18

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Solution for 9(b+2)=-6(4-b)+18 equation:


Simplifying
9(b + 2) = -6(4 + -1b) + 18

Reorder the terms:
9(2 + b) = -6(4 + -1b) + 18
(2 * 9 + b * 9) = -6(4 + -1b) + 18
(18 + 9b) = -6(4 + -1b) + 18
18 + 9b = (4 * -6 + -1b * -6) + 18
18 + 9b = (-24 + 6b) + 18

Reorder the terms:
18 + 9b = -24 + 18 + 6b

Combine like terms: -24 + 18 = -6
18 + 9b = -6 + 6b

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

Combine like terms: 9b + -6b = 3b
18 + 3b = -6 + 6b + -6b

Combine like terms: 6b + -6b = 0
18 + 3b = -6 + 0
18 + 3b = -6

Add '-18' to each side of the equation.
18 + -18 + 3b = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 3b = -6 + -18
3b = -6 + -18

Combine like terms: -6 + -18 = -24
3b = -24

Divide each side by '3'.
b = -8

Simplifying
b = -8

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