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Simplifying 23.66 + 8m = 0.2(1 + 0.9m) 23.66 + 8m = (1 * 0.2 + 0.9m * 0.2) 23.66 + 8m = (0.2 + 0.18m) Solving 23.66 + 8m = 0.2 + 0.18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.18m' to each side of the equation. 23.66 + 8m + -0.18m = 0.2 + 0.18m + -0.18m Combine like terms: 8m + -0.18m = 7.82m 23.66 + 7.82m = 0.2 + 0.18m + -0.18m Combine like terms: 0.18m + -0.18m = 0.00 23.66 + 7.82m = 0.2 + 0.00 23.66 + 7.82m = 0.2 Add '-23.66' to each side of the equation. 23.66 + -23.66 + 7.82m = 0.2 + -23.66 Combine like terms: 23.66 + -23.66 = 0.00 0.00 + 7.82m = 0.2 + -23.66 7.82m = 0.2 + -23.66 Combine like terms: 0.2 + -23.66 = -23.46 7.82m = -23.46 Divide each side by '7.82'. m = -3 Simplifying m = -3
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