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Simplifying 53.7q + 1.2 = 386.2 + -1.3q Reorder the terms: 1.2 + 53.7q = 386.2 + -1.3q Solving 1.2 + 53.7q = 386.2 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. 1.2 + 53.7q + 1.3q = 386.2 + -1.3q + 1.3q Combine like terms: 53.7q + 1.3q = 55q 1.2 + 55q = 386.2 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 1.2 + 55q = 386.2 + 0.0 1.2 + 55q = 386.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 55q = 386.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 55q = 386.2 + -1.2 55q = 386.2 + -1.2 Combine like terms: 386.2 + -1.2 = 385 55q = 385 Divide each side by '55'. q = 7 Simplifying q = 7
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