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Simplifying 8(4q + -5) + -7q = 20q + -10 Reorder the terms: 8(-5 + 4q) + -7q = 20q + -10 (-5 * 8 + 4q * 8) + -7q = 20q + -10 (-40 + 32q) + -7q = 20q + -10 Combine like terms: 32q + -7q = 25q -40 + 25q = 20q + -10 Reorder the terms: -40 + 25q = -10 + 20q Solving -40 + 25q = -10 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. -40 + 25q + -20q = -10 + 20q + -20q Combine like terms: 25q + -20q = 5q -40 + 5q = -10 + 20q + -20q Combine like terms: 20q + -20q = 0 -40 + 5q = -10 + 0 -40 + 5q = -10 Add '40' to each side of the equation. -40 + 40 + 5q = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 5q = -10 + 40 5q = -10 + 40 Combine like terms: -10 + 40 = 30 5q = 30 Divide each side by '5'. q = 6 Simplifying q = 6
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