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Simplifying -7(4 + -6m) = 8m + 40 (4 * -7 + -6m * -7) = 8m + 40 (-28 + 42m) = 8m + 40 Reorder the terms: -28 + 42m = 40 + 8m Solving -28 + 42m = 40 + 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. -28 + 42m + -8m = 40 + 8m + -8m Combine like terms: 42m + -8m = 34m -28 + 34m = 40 + 8m + -8m Combine like terms: 8m + -8m = 0 -28 + 34m = 40 + 0 -28 + 34m = 40 Add '28' to each side of the equation. -28 + 28 + 34m = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 34m = 40 + 28 34m = 40 + 28 Combine like terms: 40 + 28 = 68 34m = 68 Divide each side by '34'. m = 2 Simplifying m = 2
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