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Simplifying 3(4q + -5) = 17q Reorder the terms: 3(-5 + 4q) = 17q (-5 * 3 + 4q * 3) = 17q (-15 + 12q) = 17q Solving -15 + 12q = 17q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17q' to each side of the equation. -15 + 12q + -17q = 17q + -17q Combine like terms: 12q + -17q = -5q -15 + -5q = 17q + -17q Combine like terms: 17q + -17q = 0 -15 + -5q = 0 Add '15' to each side of the equation. -15 + 15 + -5q = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5q = 0 + 15 -5q = 0 + 15 Combine like terms: 0 + 15 = 15 -5q = 15 Divide each side by '-5'. q = -3 Simplifying q = -3
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