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Simplifying (5m + -8) + -1(3m + 4) = 0 Reorder the terms: (-8 + 5m) + -1(3m + 4) = 0 Remove parenthesis around (-8 + 5m) -8 + 5m + -1(3m + 4) = 0 Reorder the terms: -8 + 5m + -1(4 + 3m) = 0 -8 + 5m + (4 * -1 + 3m * -1) = 0 -8 + 5m + (-4 + -3m) = 0 Reorder the terms: -8 + -4 + 5m + -3m = 0 Combine like terms: -8 + -4 = -12 -12 + 5m + -3m = 0 Combine like terms: 5m + -3m = 2m -12 + 2m = 0 Solving -12 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2m = 0 + 12 2m = 0 + 12 Combine like terms: 0 + 12 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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