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Simplifying -8(4 + 2m) + 2m = 24 + -6m (4 * -8 + 2m * -8) + 2m = 24 + -6m (-32 + -16m) + 2m = 24 + -6m Combine like terms: -16m + 2m = -14m -32 + -14m = 24 + -6m Solving -32 + -14m = 24 + -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. -32 + -14m + 6m = 24 + -6m + 6m Combine like terms: -14m + 6m = -8m -32 + -8m = 24 + -6m + 6m Combine like terms: -6m + 6m = 0 -32 + -8m = 24 + 0 -32 + -8m = 24 Add '32' to each side of the equation. -32 + 32 + -8m = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -8m = 24 + 32 -8m = 24 + 32 Combine like terms: 24 + 32 = 56 -8m = 56 Divide each side by '-8'. m = -7 Simplifying m = -7
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