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Simplifying 5(2m + 2) + 6(3m + -5) = 36 Reorder the terms: 5(2 + 2m) + 6(3m + -5) = 36 (2 * 5 + 2m * 5) + 6(3m + -5) = 36 (10 + 10m) + 6(3m + -5) = 36 Reorder the terms: 10 + 10m + 6(-5 + 3m) = 36 10 + 10m + (-5 * 6 + 3m * 6) = 36 10 + 10m + (-30 + 18m) = 36 Reorder the terms: 10 + -30 + 10m + 18m = 36 Combine like terms: 10 + -30 = -20 -20 + 10m + 18m = 36 Combine like terms: 10m + 18m = 28m -20 + 28m = 36 Solving -20 + 28m = 36 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 28m = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 28m = 36 + 20 28m = 36 + 20 Combine like terms: 36 + 20 = 56 28m = 56 Divide each side by '28'. m = 2 Simplifying m = 2
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