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Simplifying -39 + 2m = 7(1 + -3m) -39 + 2m = (1 * 7 + -3m * 7) -39 + 2m = (7 + -21m) Solving -39 + 2m = 7 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. -39 + 2m + 21m = 7 + -21m + 21m Combine like terms: 2m + 21m = 23m -39 + 23m = 7 + -21m + 21m Combine like terms: -21m + 21m = 0 -39 + 23m = 7 + 0 -39 + 23m = 7 Add '39' to each side of the equation. -39 + 39 + 23m = 7 + 39 Combine like terms: -39 + 39 = 0 0 + 23m = 7 + 39 23m = 7 + 39 Combine like terms: 7 + 39 = 46 23m = 46 Divide each side by '23'. m = 2 Simplifying m = 2
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