3(3+2b)=-3(5-4b)

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Solution for 3(3+2b)=-3(5-4b) equation:


Simplifying
3(3 + 2b) = -3(5 + -4b)
(3 * 3 + 2b * 3) = -3(5 + -4b)
(9 + 6b) = -3(5 + -4b)
9 + 6b = (5 * -3 + -4b * -3)
9 + 6b = (-15 + 12b)

Solving
9 + 6b = -15 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
9 + 6b + -12b = -15 + 12b + -12b

Combine like terms: 6b + -12b = -6b
9 + -6b = -15 + 12b + -12b

Combine like terms: 12b + -12b = 0
9 + -6b = -15 + 0
9 + -6b = -15

Add '-9' to each side of the equation.
9 + -9 + -6b = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -6b = -15 + -9
-6b = -15 + -9

Combine like terms: -15 + -9 = -24
-6b = -24

Divide each side by '-6'.
b = 4

Simplifying
b = 4

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