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Simplifying 2q + 6 = 5(q + 3) Reorder the terms: 6 + 2q = 5(q + 3) Reorder the terms: 6 + 2q = 5(3 + q) 6 + 2q = (3 * 5 + q * 5) 6 + 2q = (15 + 5q) Solving 6 + 2q = 15 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 6 + 2q + -5q = 15 + 5q + -5q Combine like terms: 2q + -5q = -3q 6 + -3q = 15 + 5q + -5q Combine like terms: 5q + -5q = 0 6 + -3q = 15 + 0 6 + -3q = 15 Add '-6' to each side of the equation. 6 + -6 + -3q = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3q = 15 + -6 -3q = 15 + -6 Combine like terms: 15 + -6 = 9 -3q = 9 Divide each side by '-3'. q = -3 Simplifying q = -3
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