4(q+3)=7(q-6)

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Solution for 4(q+3)=7(q-6) equation:


Simplifying
4(q + 3) = 7(q + -6)

Reorder the terms:
4(3 + q) = 7(q + -6)
(3 * 4 + q * 4) = 7(q + -6)
(12 + 4q) = 7(q + -6)

Reorder the terms:
12 + 4q = 7(-6 + q)
12 + 4q = (-6 * 7 + q * 7)
12 + 4q = (-42 + 7q)

Solving
12 + 4q = -42 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
12 + 4q + -7q = -42 + 7q + -7q

Combine like terms: 4q + -7q = -3q
12 + -3q = -42 + 7q + -7q

Combine like terms: 7q + -7q = 0
12 + -3q = -42 + 0
12 + -3q = -42

Add '-12' to each side of the equation.
12 + -12 + -3q = -42 + -12

Combine like terms: 12 + -12 = 0
0 + -3q = -42 + -12
-3q = -42 + -12

Combine like terms: -42 + -12 = -54
-3q = -54

Divide each side by '-3'.
q = 18

Simplifying
q = 18

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