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Simplifying (3q + -5) = 2(q + 5) Reorder the terms: (-5 + 3q) = 2(q + 5) Remove parenthesis around (-5 + 3q) -5 + 3q = 2(q + 5) Reorder the terms: -5 + 3q = 2(5 + q) -5 + 3q = (5 * 2 + q * 2) -5 + 3q = (10 + 2q) Solving -5 + 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. -5 + 3q + -2q = 10 + 2q + -2q Combine like terms: 3q + -2q = 1q -5 + 1q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -5 + 1q = 10 + 0 -5 + 1q = 10 Add '5' to each side of the equation. -5 + 5 + 1q = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1q = 10 + 5 1q = 10 + 5 Combine like terms: 10 + 5 = 15 1q = 15 Divide each side by '1'. q = 15 Simplifying q = 15
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