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Simplifying 5(q + -3) = 2q + -3 Reorder the terms: 5(-3 + q) = 2q + -3 (-3 * 5 + q * 5) = 2q + -3 (-15 + 5q) = 2q + -3 Reorder the terms: -15 + 5q = -3 + 2q Solving -15 + 5q = -3 + 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 + 5q + -2q = -3 + 2q + -2q Combine like terms: 5q + -2q = 3q -15 + 3q = -3 + 2q + -2q Combine like terms: 2q + -2q = 0 -15 + 3q = -3 + 0 -15 + 3q = -3 Add '15' to each side of the equation. -15 + 15 + 3q = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 3q = -3 + 15 3q = -3 + 15 Combine like terms: -3 + 15 = 12 3q = 12 Divide each side by '3'. q = 4 Simplifying q = 4
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