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Simplifying 8q + 12 = 4(3 + 3q) Reorder the terms: 12 + 8q = 4(3 + 3q) 12 + 8q = (3 * 4 + 3q * 4) 12 + 8q = (12 + 12q) Add '-12' to each side of the equation. 12 + -12 + 8q = 12 + -12 + 12q Combine like terms: 12 + -12 = 0 0 + 8q = 12 + -12 + 12q 8q = 12 + -12 + 12q Combine like terms: 12 + -12 = 0 8q = 0 + 12q 8q = 12q Solving 8q = 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 8q + -12q = 12q + -12q Combine like terms: 8q + -12q = -4q -4q = 12q + -12q Combine like terms: 12q + -12q = 0 -4q = 0 Divide each side by '-4'. q = 0 Simplifying q = 0
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