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Simplifying 9q + 57 = 12q + 100.5 Reorder the terms: 57 + 9q = 12q + 100.5 Reorder the terms: 57 + 9q = 100.5 + 12q Solving 57 + 9q = 100.5 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 57 + 9q + -12q = 100.5 + 12q + -12q Combine like terms: 9q + -12q = -3q 57 + -3q = 100.5 + 12q + -12q Combine like terms: 12q + -12q = 0 57 + -3q = 100.5 + 0 57 + -3q = 100.5 Add '-57' to each side of the equation. 57 + -57 + -3q = 100.5 + -57 Combine like terms: 57 + -57 = 0 0 + -3q = 100.5 + -57 -3q = 100.5 + -57 Combine like terms: 100.5 + -57 = 43.5 -3q = 43.5 Divide each side by '-3'. q = -14.5 Simplifying q = -14.5
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