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Simplifying 5(2m + 5) + 7m = -40 + 4m Reorder the terms: 5(5 + 2m) + 7m = -40 + 4m (5 * 5 + 2m * 5) + 7m = -40 + 4m (25 + 10m) + 7m = -40 + 4m Combine like terms: 10m + 7m = 17m 25 + 17m = -40 + 4m Solving 25 + 17m = -40 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 25 + 17m + -4m = -40 + 4m + -4m Combine like terms: 17m + -4m = 13m 25 + 13m = -40 + 4m + -4m Combine like terms: 4m + -4m = 0 25 + 13m = -40 + 0 25 + 13m = -40 Add '-25' to each side of the equation. 25 + -25 + 13m = -40 + -25 Combine like terms: 25 + -25 = 0 0 + 13m = -40 + -25 13m = -40 + -25 Combine like terms: -40 + -25 = -65 13m = -65 Divide each side by '13'. m = -5 Simplifying m = -5
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