4(2q+9)=4q-12

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Solution for 4(2q+9)=4q-12 equation:


Simplifying
4(2q + 9) = 4q + -12

Reorder the terms:
4(9 + 2q) = 4q + -12
(9 * 4 + 2q * 4) = 4q + -12
(36 + 8q) = 4q + -12

Reorder the terms:
36 + 8q = -12 + 4q

Solving
36 + 8q = -12 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
36 + 8q + -4q = -12 + 4q + -4q

Combine like terms: 8q + -4q = 4q
36 + 4q = -12 + 4q + -4q

Combine like terms: 4q + -4q = 0
36 + 4q = -12 + 0
36 + 4q = -12

Add '-36' to each side of the equation.
36 + -36 + 4q = -12 + -36

Combine like terms: 36 + -36 = 0
0 + 4q = -12 + -36
4q = -12 + -36

Combine like terms: -12 + -36 = -48
4q = -48

Divide each side by '4'.
q = -12

Simplifying
q = -12

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