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Simplifying 5(m + -3) + 2(7 + -2m) = 9 Reorder the terms: 5(-3 + m) + 2(7 + -2m) = 9 (-3 * 5 + m * 5) + 2(7 + -2m) = 9 (-15 + 5m) + 2(7 + -2m) = 9 -15 + 5m + (7 * 2 + -2m * 2) = 9 -15 + 5m + (14 + -4m) = 9 Reorder the terms: -15 + 14 + 5m + -4m = 9 Combine like terms: -15 + 14 = -1 -1 + 5m + -4m = 9 Combine like terms: 5m + -4m = 1m -1 + 1m = 9 Solving -1 + 1m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1m = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 1m = 9 + 1 1m = 9 + 1 Combine like terms: 9 + 1 = 10 1m = 10 Divide each side by '1'. m = 10 Simplifying m = 10
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