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Simplifying 66.12 = 5.51(q + 3.6) Reorder the terms: 66.12 = 5.51(3.6 + q) 66.12 = (3.6 * 5.51 + q * 5.51) 66.12 = (19.836 + 5.51q) Solving 66.12 = 19.836 + 5.51q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.51q' to each side of the equation. 66.12 + -5.51q = 19.836 + 5.51q + -5.51q Combine like terms: 5.51q + -5.51q = 0.00 66.12 + -5.51q = 19.836 + 0.00 66.12 + -5.51q = 19.836 Add '-66.12' to each side of the equation. 66.12 + -66.12 + -5.51q = 19.836 + -66.12 Combine like terms: 66.12 + -66.12 = 0.00 0.00 + -5.51q = 19.836 + -66.12 -5.51q = 19.836 + -66.12 Combine like terms: 19.836 + -66.12 = -46.284 -5.51q = -46.284 Divide each side by '-5.51'. q = 8.4 Simplifying q = 8.4
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