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Simplifying 6(4m + 5n + -9) + 92 = 0 Reorder the terms: 6(-9 + 4m + 5n) + 92 = 0 (-9 * 6 + 4m * 6 + 5n * 6) + 92 = 0 (-54 + 24m + 30n) + 92 = 0 Reorder the terms: -54 + 92 + 24m + 30n = 0 Combine like terms: -54 + 92 = 38 38 + 24m + 30n = 0 Solving 38 + 24m + 30n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + 24m + -38 + 30n = 0 + -38 Reorder the terms: 38 + -38 + 24m + 30n = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 24m + 30n = 0 + -38 24m + 30n = 0 + -38 Combine like terms: 0 + -38 = -38 24m + 30n = -38 Add '-30n' to each side of the equation. 24m + 30n + -30n = -38 + -30n Combine like terms: 30n + -30n = 0 24m + 0 = -38 + -30n 24m = -38 + -30n Divide each side by '24'. m = -1.583333333 + -1.25n Simplifying m = -1.583333333 + -1.25n
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