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Simplifying 5(q + -8) = 9q Reorder the terms: 5(-8 + q) = 9q (-8 * 5 + q * 5) = 9q (-40 + 5q) = 9q Solving -40 + 5q = 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. -40 + 5q + -9q = 9q + -9q Combine like terms: 5q + -9q = -4q -40 + -4q = 9q + -9q Combine like terms: 9q + -9q = 0 -40 + -4q = 0 Add '40' to each side of the equation. -40 + 40 + -4q = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -4q = 0 + 40 -4q = 0 + 40 Combine like terms: 0 + 40 = 40 -4q = 40 Divide each side by '-4'. q = -10 Simplifying q = -10
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