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Simplifying 8q + -12 = 4(1 + q) Reorder the terms: -12 + 8q = 4(1 + q) -12 + 8q = (1 * 4 + q * 4) -12 + 8q = (4 + 4q) Solving -12 + 8q = 4 + 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. -12 + 8q + -4q = 4 + 4q + -4q Combine like terms: 8q + -4q = 4q -12 + 4q = 4 + 4q + -4q Combine like terms: 4q + -4q = 0 -12 + 4q = 4 + 0 -12 + 4q = 4 Add '12' to each side of the equation. -12 + 12 + 4q = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4q = 4 + 12 4q = 4 + 12 Combine like terms: 4 + 12 = 16 4q = 16 Divide each side by '4'. q = 4 Simplifying q = 4
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