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Simplifying 3m + -2m = 2(m + 5) + 5(m + -2) Combine like terms: 3m + -2m = 1m 1m = 2(m + 5) + 5(m + -2) Reorder the terms: 1m = 2(5 + m) + 5(m + -2) 1m = (5 * 2 + m * 2) + 5(m + -2) 1m = (10 + 2m) + 5(m + -2) Reorder the terms: 1m = 10 + 2m + 5(-2 + m) 1m = 10 + 2m + (-2 * 5 + m * 5) 1m = 10 + 2m + (-10 + 5m) Reorder the terms: 1m = 10 + -10 + 2m + 5m Combine like terms: 10 + -10 = 0 1m = 0 + 2m + 5m 1m = 2m + 5m Combine like terms: 2m + 5m = 7m 1m = 7m Solving 1m = 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1m + -7m = 7m + -7m Combine like terms: 1m + -7m = -6m -6m = 7m + -7m Combine like terms: 7m + -7m = 0 -6m = 0 Divide each side by '-6'. m = 0 Simplifying m = 0
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