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Simplifying 0.17(12 + -6m) = 5m + -6 (12 * 0.17 + -6m * 0.17) = 5m + -6 (2.04 + -1.02m) = 5m + -6 Reorder the terms: 2.04 + -1.02m = -6 + 5m Solving 2.04 + -1.02m = -6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 2.04 + -1.02m + -5m = -6 + 5m + -5m Combine like terms: -1.02m + -5m = -6.02m 2.04 + -6.02m = -6 + 5m + -5m Combine like terms: 5m + -5m = 0 2.04 + -6.02m = -6 + 0 2.04 + -6.02m = -6 Add '-2.04' to each side of the equation. 2.04 + -2.04 + -6.02m = -6 + -2.04 Combine like terms: 2.04 + -2.04 = 0.00 0.00 + -6.02m = -6 + -2.04 -6.02m = -6 + -2.04 Combine like terms: -6 + -2.04 = -8.04 -6.02m = -8.04 Divide each side by '-6.02'. m = 1.335548173 Simplifying m = 1.335548173
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