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Simplifying 39 + -2m = -2 + -5(1 + 5m) 39 + -2m = -2 + (1 * -5 + 5m * -5) 39 + -2m = -2 + (-5 + -25m) Combine like terms: -2 + -5 = -7 39 + -2m = -7 + -25m Solving 39 + -2m = -7 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. 39 + -2m + 25m = -7 + -25m + 25m Combine like terms: -2m + 25m = 23m 39 + 23m = -7 + -25m + 25m Combine like terms: -25m + 25m = 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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