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Simplifying 2m + 39 = -2 + 5(-1 + 5m) Reorder the terms: 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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