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Simplifying 2[m + -1(10 + -2m)] = 4(2m + 6) 2[m + (10 * -1 + -2m * -1)] = 4(2m + 6) 2[m + (-10 + 2m)] = 4(2m + 6) Reorder the terms: 2[-10 + m + 2m] = 4(2m + 6) Combine like terms: m + 2m = 3m 2[-10 + 3m] = 4(2m + 6) [-10 * 2 + 3m * 2] = 4(2m + 6) [-20 + 6m] = 4(2m + 6) Reorder the terms: -20 + 6m = 4(6 + 2m) -20 + 6m = (6 * 4 + 2m * 4) -20 + 6m = (24 + 8m) Solving -20 + 6m = 24 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -20 + 6m + -8m = 24 + 8m + -8m Combine like terms: 6m + -8m = -2m -20 + -2m = 24 + 8m + -8m Combine like terms: 8m + -8m = 0 -20 + -2m = 24 + 0 -20 + -2m = 24 Add '20' to each side of the equation. -20 + 20 + -2m = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -2m = 24 + 20 -2m = 24 + 20 Combine like terms: 24 + 20 = 44 -2m = 44 Divide each side by '-2'. m = -22 Simplifying m = -22
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