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Simplifying 5(q + -8) = 7q + 5 Reorder the terms: 5(-8 + q) = 7q + 5 (-8 * 5 + q * 5) = 7q + 5 (-40 + 5q) = 7q + 5 Reorder the terms: -40 + 5q = 5 + 7q Solving -40 + 5q = 5 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -40 + 5q + -7q = 5 + 7q + -7q Combine like terms: 5q + -7q = -2q -40 + -2q = 5 + 7q + -7q Combine like terms: 7q + -7q = 0 -40 + -2q = 5 + 0 -40 + -2q = 5 Add '40' to each side of the equation. -40 + 40 + -2q = 5 + 40 Combine like terms: -40 + 40 = 0 0 + -2q = 5 + 40 -2q = 5 + 40 Combine like terms: 5 + 40 = 45 -2q = 45 Divide each side by '-2'. q = -22.5 Simplifying q = -22.5
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