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Simplifying 3(q + -5) = (q + 5) Reorder the terms: 3(-5 + q) = (q + 5) (-5 * 3 + q * 3) = (q + 5) (-15 + 3q) = (q + 5) Reorder the terms: -15 + 3q = (5 + q) Remove parenthesis around (5 + q) -15 + 3q = 5 + q Solving -15 + 3q = 5 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -15 + 3q + -1q = 5 + q + -1q Combine like terms: 3q + -1q = 2q -15 + 2q = 5 + q + -1q Combine like terms: q + -1q = 0 -15 + 2q = 5 + 0 -15 + 2q = 5 Add '15' to each side of the equation. -15 + 15 + 2q = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2q = 5 + 15 2q = 5 + 15 Combine like terms: 5 + 15 = 20 2q = 20 Divide each side by '2'. q = 10 Simplifying q = 10
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