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Simplifying 3m + -1(2m + 6) = 5m + 30 Reorder the terms: 3m + -1(6 + 2m) = 5m + 30 3m + (6 * -1 + 2m * -1) = 5m + 30 3m + (-6 + -2m) = 5m + 30 Reorder the terms: -6 + 3m + -2m = 5m + 30 Combine like terms: 3m + -2m = 1m -6 + 1m = 5m + 30 Reorder the terms: -6 + 1m = 30 + 5m Solving -6 + 1m = 30 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -6 + 1m + -5m = 30 + 5m + -5m Combine like terms: 1m + -5m = -4m -6 + -4m = 30 + 5m + -5m Combine like terms: 5m + -5m = 0 -6 + -4m = 30 + 0 -6 + -4m = 30 Add '6' to each side of the equation. -6 + 6 + -4m = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -4m = 30 + 6 -4m = 30 + 6 Combine like terms: 30 + 6 = 36 -4m = 36 Divide each side by '-4'. m = -9 Simplifying m = -9
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