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Simplifying (q + -7) * 5 = 40 Reorder the terms: (-7 + q) * 5 = 40 Reorder the terms for easier multiplication: 5(-7 + q) = 40 (-7 * 5 + q * 5) = 40 (-35 + 5q) = 40 Solving -35 + 5q = 40 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5q = 40 + 35 Combine like terms: -35 + 35 = 0 0 + 5q = 40 + 35 5q = 40 + 35 Combine like terms: 40 + 35 = 75 5q = 75 Divide each side by '5'. q = 15 Simplifying q = 15
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