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Simplifying 3(q + -5) = 2(q + -15) Reorder the terms: 3(-5 + q) = 2(q + -15) (-5 * 3 + q * 3) = 2(q + -15) (-15 + 3q) = 2(q + -15) Reorder the terms: -15 + 3q = 2(-15 + q) -15 + 3q = (-15 * 2 + q * 2) -15 + 3q = (-30 + 2q) Solving -15 + 3q = -30 + 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. -15 + 3q + -2q = -30 + 2q + -2q Combine like terms: 3q + -2q = 1q -15 + 1q = -30 + 2q + -2q Combine like terms: 2q + -2q = 0 -15 + 1q = -30 + 0 -15 + 1q = -30 Add '15' to each side of the equation. -15 + 15 + 1q = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 1q = -30 + 15 1q = -30 + 15 Combine like terms: -30 + 15 = -15 1q = -15 Divide each side by '1'. q = -15 Simplifying q = -15
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