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Simplifying 3m + -5m + 3(4m + -2) + 5m = 45 Reorder the terms: 3m + -5m + 3(-2 + 4m) + 5m = 45 3m + -5m + (-2 * 3 + 4m * 3) + 5m = 45 3m + -5m + (-6 + 12m) + 5m = 45 Reorder the terms: -6 + 3m + -5m + 12m + 5m = 45 Combine like terms: 3m + -5m = -2m -6 + -2m + 12m + 5m = 45 Combine like terms: -2m + 12m = 10m -6 + 10m + 5m = 45 Combine like terms: 10m + 5m = 15m -6 + 15m = 45 Solving -6 + 15m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15m = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 15m = 45 + 6 15m = 45 + 6 Combine like terms: 45 + 6 = 51 15m = 51 Divide each side by '15'. m = 3.4 Simplifying m = 3.4
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