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Simplifying 4[m + -1(4 + -2m)] = 5(2m + 4) 4[m + (4 * -1 + -2m * -1)] = 5(2m + 4) 4[m + (-4 + 2m)] = 5(2m + 4) Reorder the terms: 4[-4 + m + 2m] = 5(2m + 4) Combine like terms: m + 2m = 3m 4[-4 + 3m] = 5(2m + 4) [-4 * 4 + 3m * 4] = 5(2m + 4) [-16 + 12m] = 5(2m + 4) Reorder the terms: -16 + 12m = 5(4 + 2m) -16 + 12m = (4 * 5 + 2m * 5) -16 + 12m = (20 + 10m) Solving -16 + 12m = 20 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -16 + 12m + -10m = 20 + 10m + -10m Combine like terms: 12m + -10m = 2m -16 + 2m = 20 + 10m + -10m Combine like terms: 10m + -10m = 0 -16 + 2m = 20 + 0 -16 + 2m = 20 Add '16' to each side of the equation. -16 + 16 + 2m = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 2m = 20 + 16 2m = 20 + 16 Combine like terms: 20 + 16 = 36 2m = 36 Divide each side by '2'. m = 18 Simplifying m = 18
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