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Simplifying 8 + 12 = 4(3 + 2q) Combine like terms: 8 + 12 = 20 20 = 4(3 + 2q) 20 = (3 * 4 + 2q * 4) 20 = (12 + 8q) Solving 20 = 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. 20 + -8q = 12 + 8q + -8q Combine like terms: 8q + -8q = 0 20 + -8q = 12 + 0 20 + -8q = 12 Add '-20' to each side of the equation. 20 + -20 + -8q = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8q = 12 + -20 -8q = 12 + -20 Combine like terms: 12 + -20 = -8 -8q = -8 Divide each side by '-8'. q = 1 Simplifying q = 1
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