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Simplifying 15.45 + -7.3q = 16.59 + 5.7q + 1.46 Reorder the terms: 15.45 + -7.3q = 16.59 + 1.46 + 5.7q Combine like terms: 16.59 + 1.46 = 18.05 15.45 + -7.3q = 18.05 + 5.7q Solving 15.45 + -7.3q = 18.05 + 5.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.7q' to each side of the equation. 15.45 + -7.3q + -5.7q = 18.05 + 5.7q + -5.7q Combine like terms: -7.3q + -5.7q = -13q 15.45 + -13q = 18.05 + 5.7q + -5.7q Combine like terms: 5.7q + -5.7q = 0.0 15.45 + -13q = 18.05 + 0.0 15.45 + -13q = 18.05 Add '-15.45' to each side of the equation. 15.45 + -15.45 + -13q = 18.05 + -15.45 Combine like terms: 15.45 + -15.45 = 0.00 0.00 + -13q = 18.05 + -15.45 -13q = 18.05 + -15.45 Combine like terms: 18.05 + -15.45 = 2.6 -13q = 2.6 Divide each side by '-13'. q = -0.2 Simplifying q = -0.2
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