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Simplifying 7(1 + -3m) = 39 + 2m (1 * 7 + -3m * 7) = 39 + 2m (7 + -21m) = 39 + 2m Solving 7 + -21m = 39 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 7 + -21m + -2m = 39 + 2m + -2m Combine like terms: -21m + -2m = -23m 7 + -23m = 39 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -23m = 39 + 0 7 + -23m = 39 Add '-7' to each side of the equation. 7 + -7 + -23m = 39 + -7 Combine like terms: 7 + -7 = 0 0 + -23m = 39 + -7 -23m = 39 + -7 Combine like terms: 39 + -7 = 32 -23m = 32 Divide each side by '-23'. m = -1.391304348 Simplifying m = -1.391304348
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