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Simplifying -3(8 + -7m) = 30 + 30m (8 * -3 + -7m * -3) = 30 + 30m (-24 + 21m) = 30 + 30m Solving -24 + 21m = 30 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -24 + 21m + -30m = 30 + 30m + -30m Combine like terms: 21m + -30m = -9m -24 + -9m = 30 + 30m + -30m Combine like terms: 30m + -30m = 0 -24 + -9m = 30 + 0 -24 + -9m = 30 Add '24' to each side of the equation. -24 + 24 + -9m = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -9m = 30 + 24 -9m = 30 + 24 Combine like terms: 30 + 24 = 54 -9m = 54 Divide each side by '-9'. m = -6 Simplifying m = -6
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