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Simplifying 3(q + -5) = 2(2q + 5) Reorder the terms: 3(-5 + q) = 2(2q + 5) (-5 * 3 + q * 3) = 2(2q + 5) (-15 + 3q) = 2(2q + 5) Reorder the terms: -15 + 3q = 2(5 + 2q) -15 + 3q = (5 * 2 + 2q * 2) -15 + 3q = (10 + 4q) Solving -15 + 3q = 10 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -15 + 3q + -4q = 10 + 4q + -4q Combine like terms: 3q + -4q = -1q -15 + -1q = 10 + 4q + -4q Combine like terms: 4q + -4q = 0 -15 + -1q = 10 + 0 -15 + -1q = 10 Add '15' to each side of the equation. -15 + 15 + -1q = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -1q = 10 + 15 -1q = 10 + 15 Combine like terms: 10 + 15 = 25 -1q = 25 Divide each side by '-1'. q = -25 Simplifying q = -25
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