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Simplifying 5(m + 9) + -8(12 + -1m) = 0 Reorder the terms: 5(9 + m) + -8(12 + -1m) = 0 (9 * 5 + m * 5) + -8(12 + -1m) = 0 (45 + 5m) + -8(12 + -1m) = 0 45 + 5m + (12 * -8 + -1m * -8) = 0 45 + 5m + (-96 + 8m) = 0 Reorder the terms: 45 + -96 + 5m + 8m = 0 Combine like terms: 45 + -96 = -51 -51 + 5m + 8m = 0 Combine like terms: 5m + 8m = 13m -51 + 13m = 0 Solving -51 + 13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 13m = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 13m = 0 + 51 13m = 0 + 51 Combine like terms: 0 + 51 = 51 13m = 51 Divide each side by '13'. m = 3.923076923 Simplifying m = 3.923076923
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