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Simplifying -2m + 39 = -5(7 + -7m) Reorder the terms: 39 + -2m = -5(7 + -7m) 39 + -2m = (7 * -5 + -7m * -5) 39 + -2m = (-35 + 35m) Solving 39 + -2m = -35 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 39 + -2m + -35m = -35 + 35m + -35m Combine like terms: -2m + -35m = -37m 39 + -37m = -35 + 35m + -35m Combine like terms: 35m + -35m = 0 39 + -37m = -35 + 0 39 + -37m = -35 Add '-39' to each side of the equation. 39 + -39 + -37m = -35 + -39 Combine like terms: 39 + -39 = 0 0 + -37m = -35 + -39 -37m = -35 + -39 Combine like terms: -35 + -39 = -74 -37m = -74 Divide each side by '-37'. m = 2 Simplifying m = 2
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