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Simplifying 6 + -1(2m + 4) = 8m + 12 Reorder the terms: 6 + -1(4 + 2m) = 8m + 12 6 + (4 * -1 + 2m * -1) = 8m + 12 6 + (-4 + -2m) = 8m + 12 Combine like terms: 6 + -4 = 2 2 + -2m = 8m + 12 Reorder the terms: 2 + -2m = 12 + 8m Solving 2 + -2m = 12 + 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. 2 + -2m + -8m = 12 + 8m + -8m Combine like terms: -2m + -8m = -10m 2 + -10m = 12 + 8m + -8m Combine like terms: 8m + -8m = 0 2 + -10m = 12 + 0 2 + -10m = 12 Add '-2' to each side of the equation. 2 + -2 + -10m = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10m = 12 + -2 -10m = 12 + -2 Combine like terms: 12 + -2 = 10 -10m = 10 Divide each side by '-10'. m = -1 Simplifying m = -1
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