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Simplifying 9(5m + -2) + -4(8 + -1m) = 48 Reorder the terms: 9(-2 + 5m) + -4(8 + -1m) = 48 (-2 * 9 + 5m * 9) + -4(8 + -1m) = 48 (-18 + 45m) + -4(8 + -1m) = 48 -18 + 45m + (8 * -4 + -1m * -4) = 48 -18 + 45m + (-32 + 4m) = 48 Reorder the terms: -18 + -32 + 45m + 4m = 48 Combine like terms: -18 + -32 = -50 -50 + 45m + 4m = 48 Combine like terms: 45m + 4m = 49m -50 + 49m = 48 Solving -50 + 49m = 48 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 49m = 48 + 50 Combine like terms: -50 + 50 = 0 0 + 49m = 48 + 50 49m = 48 + 50 Combine like terms: 48 + 50 = 98 49m = 98 Divide each side by '49'. m = 2 Simplifying m = 2
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