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