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Simplifying 16.57 + 11.8q + 1.50 = 16.2q + 18.61 Reorder the terms: 16.57 + 1.50 + 11.8q = 16.2q + 18.61 Combine like terms: 16.57 + 1.50 = 18.07 18.07 + 11.8q = 16.2q + 18.61 Reorder the terms: 18.07 + 11.8q = 18.61 + 16.2q Solving 18.07 + 11.8q = 18.61 + 16.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16.2q' to each side of the equation. 18.07 + 11.8q + -16.2q = 18.61 + 16.2q + -16.2q Combine like terms: 11.8q + -16.2q = -4.4q 18.07 + -4.4q = 18.61 + 16.2q + -16.2q Combine like terms: 16.2q + -16.2q = 0.0 18.07 + -4.4q = 18.61 + 0.0 18.07 + -4.4q = 18.61 Add '-18.07' to each side of the equation. 18.07 + -18.07 + -4.4q = 18.61 + -18.07 Combine like terms: 18.07 + -18.07 = 0.00 0.00 + -4.4q = 18.61 + -18.07 -4.4q = 18.61 + -18.07 Combine like terms: 18.61 + -18.07 = 0.54 -4.4q = 0.54 Divide each side by '-4.4'. q = -0.1227272727 Simplifying q = -0.1227272727
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