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Simplifying 39 + 5m = 7(6m + -5) Reorder the terms: 39 + 5m = 7(-5 + 6m) 39 + 5m = (-5 * 7 + 6m * 7) 39 + 5m = (-35 + 42m) Solving 39 + 5m = -35 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 39 + 5m + -42m = -35 + 42m + -42m Combine like terms: 5m + -42m = -37m 39 + -37m = -35 + 42m + -42m Combine like terms: 42m + -42m = 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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