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

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


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

Reorder the terms:
3(-2 + b) = -4(5 + b)
(-2 * 3 + b * 3) = -4(5 + b)
(-6 + 3b) = -4(5 + b)
-6 + 3b = (5 * -4 + b * -4)
-6 + 3b = (-20 + -4b)

Solving
-6 + 3b = -20 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
-6 + 3b + 4b = -20 + -4b + 4b

Combine like terms: 3b + 4b = 7b
-6 + 7b = -20 + -4b + 4b

Combine like terms: -4b + 4b = 0
-6 + 7b = -20 + 0
-6 + 7b = -20

Add '6' to each side of the equation.
-6 + 6 + 7b = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = -20 + 6
7b = -20 + 6

Combine like terms: -20 + 6 = -14
7b = -14

Divide each side by '7'.
b = -2

Simplifying
b = -2

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