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Simplifying -82 = -5m + -4(m + 7) Reorder the terms: -82 = -5m + -4(7 + m) -82 = -5m + (7 * -4 + m * -4) -82 = -5m + (-28 + -4m) Reorder the terms: -82 = -28 + -5m + -4m Combine like terms: -5m + -4m = -9m -82 = -28 + -9m Solving -82 = -28 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -82 + 9m = -28 + -9m + 9m Combine like terms: -9m + 9m = 0 -82 + 9m = -28 + 0 -82 + 9m = -28 Add '82' to each side of the equation. -82 + 82 + 9m = -28 + 82 Combine like terms: -82 + 82 = 0 0 + 9m = -28 + 82 9m = -28 + 82 Combine like terms: -28 + 82 = 54 9m = 54 Divide each side by '9'. m = 6 Simplifying m = 6
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