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Simplifying 8m + -3(4 + -2m) = 6(m + 1) + -2 8m + (4 * -3 + -2m * -3) = 6(m + 1) + -2 8m + (-12 + 6m) = 6(m + 1) + -2 Reorder the terms: -12 + 8m + 6m = 6(m + 1) + -2 Combine like terms: 8m + 6m = 14m -12 + 14m = 6(m + 1) + -2 Reorder the terms: -12 + 14m = 6(1 + m) + -2 -12 + 14m = (1 * 6 + m * 6) + -2 -12 + 14m = (6 + 6m) + -2 Reorder the terms: -12 + 14m = 6 + -2 + 6m Combine like terms: 6 + -2 = 4 -12 + 14m = 4 + 6m Solving -12 + 14m = 4 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -12 + 14m + -6m = 4 + 6m + -6m Combine like terms: 14m + -6m = 8m -12 + 8m = 4 + 6m + -6m Combine like terms: 6m + -6m = 0 -12 + 8m = 4 + 0 -12 + 8m = 4 Add '12' to each side of the equation. -12 + 12 + 8m = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8m = 4 + 12 8m = 4 + 12 Combine like terms: 4 + 12 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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