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Simplifying -12 = 5(1 + 4m) + -2m -12 = (1 * 5 + 4m * 5) + -2m -12 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m -12 = 5 + 18m Solving -12 = 5 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -12 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 -12 + -18m = 5 + 0 -12 + -18m = 5 Add '12' to each side of the equation. -12 + 12 + -18m = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -18m = 5 + 12 -18m = 5 + 12 Combine like terms: 5 + 12 = 17 -18m = 17 Divide each side by '-18'. m = -0.9444444444 Simplifying m = -0.9444444444
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