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Simplifying 10m + -1(5m + 8) = 42 Reorder the terms: 10m + -1(8 + 5m) = 42 10m + (8 * -1 + 5m * -1) = 42 10m + (-8 + -5m) = 42 Reorder the terms: -8 + 10m + -5m = 42 Combine like terms: 10m + -5m = 5m -8 + 5m = 42 Solving -8 + 5m = 42 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5m = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5m = 42 + 8 5m = 42 + 8 Combine like terms: 42 + 8 = 50 5m = 50 Divide each side by '5'. m = 10 Simplifying m = 10
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