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Simplifying 8(2m + 4) + 6m = -24 + 8m Reorder the terms: 8(4 + 2m) + 6m = -24 + 8m (4 * 8 + 2m * 8) + 6m = -24 + 8m (32 + 16m) + 6m = -24 + 8m Combine like terms: 16m + 6m = 22m 32 + 22m = -24 + 8m Solving 32 + 22m = -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. 32 + 22m + -8m = -24 + 8m + -8m Combine like terms: 22m + -8m = 14m 32 + 14m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 32 + 14m = -24 + 0 32 + 14m = -24 Add '-32' to each side of the equation. 32 + -32 + 14m = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 14m = -24 + -32 14m = -24 + -32 Combine like terms: -24 + -32 = -56 14m = -56 Divide each side by '14'. m = -4 Simplifying m = -4
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