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Simplifying 4q + 4 = 8q + 12 Reorder the terms: 4 + 4q = 8q + 12 Reorder the terms: 4 + 4q = 12 + 8q Solving 4 + 4q = 12 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 4 + 4q + -8q = 12 + 8q + -8q Combine like terms: 4q + -8q = -4q 4 + -4q = 12 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + -4q = 12 + 0 4 + -4q = 12 Add '-4' to each side of the equation. 4 + -4 + -4q = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4q = 12 + -4 -4q = 12 + -4 Combine like terms: 12 + -4 = 8 -4q = 8 Divide each side by '-4'. q = -2 Simplifying q = -2
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