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Simplifying (q + -8) * 5 = 45 Reorder the terms: (-8 + q) * 5 = 45 Reorder the terms for easier multiplication: 5(-8 + q) = 45 (-8 * 5 + q * 5) = 45 (-40 + 5q) = 45 Solving -40 + 5q = 45 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 5q = 45 + 40 Combine like terms: -40 + 40 = 0 0 + 5q = 45 + 40 5q = 45 + 40 Combine like terms: 45 + 40 = 85 5q = 85 Divide each side by '5'. q = 17 Simplifying q = 17
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