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Simplifying 8q + 12 = 2(3 + 5q) Reorder the terms: 12 + 8q = 2(3 + 5q) 12 + 8q = (3 * 2 + 5q * 2) 12 + 8q = (6 + 10q) Solving 12 + 8q = 6 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 12 + 8q + -10q = 6 + 10q + -10q Combine like terms: 8q + -10q = -2q 12 + -2q = 6 + 10q + -10q Combine like terms: 10q + -10q = 0 12 + -2q = 6 + 0 12 + -2q = 6 Add '-12' to each side of the equation. 12 + -12 + -2q = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2q = 6 + -12 -2q = 6 + -12 Combine like terms: 6 + -12 = -6 -2q = -6 Divide each side by '-2'. q = 3 Simplifying q = 3
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