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Simplifying 3(q + -6) = 2(q + 5) Reorder the terms: 3(-6 + q) = 2(q + 5) (-6 * 3 + q * 3) = 2(q + 5) (-18 + 3q) = 2(q + 5) Reorder the terms: -18 + 3q = 2(5 + q) -18 + 3q = (5 * 2 + q * 2) -18 + 3q = (10 + 2q) Solving -18 + 3q = 10 + 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. -18 + 3q + -2q = 10 + 2q + -2q Combine like terms: 3q + -2q = 1q -18 + 1q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -18 + 1q = 10 + 0 -18 + 1q = 10 Add '18' to each side of the equation. -18 + 18 + 1q = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 1q = 10 + 18 1q = 10 + 18 Combine like terms: 10 + 18 = 28 1q = 28 Divide each side by '1'. q = 28 Simplifying q = 28
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