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Simplifying 8(12n + -6) + -5(9 + -1m) + 10 = 0 Reorder the terms: 8(-6 + 12n) + -5(9 + -1m) + 10 = 0 (-6 * 8 + 12n * 8) + -5(9 + -1m) + 10 = 0 (-48 + 96n) + -5(9 + -1m) + 10 = 0 -48 + 96n + (9 * -5 + -1m * -5) + 10 = 0 -48 + 96n + (-45 + 5m) + 10 = 0 Reorder the terms: -48 + -45 + 10 + 5m + 96n = 0 Combine like terms: -48 + -45 = -93 -93 + 10 + 5m + 96n = 0 Combine like terms: -93 + 10 = -83 -83 + 5m + 96n = 0 Solving -83 + 5m + 96n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 5m + 83 + 96n = 0 + 83 Reorder the terms: -83 + 83 + 5m + 96n = 0 + 83 Combine like terms: -83 + 83 = 0 0 + 5m + 96n = 0 + 83 5m + 96n = 0 + 83 Combine like terms: 0 + 83 = 83 5m + 96n = 83 Add '-96n' to each side of the equation. 5m + 96n + -96n = 83 + -96n Combine like terms: 96n + -96n = 0 5m + 0 = 83 + -96n 5m = 83 + -96n Divide each side by '5'. m = 16.6 + -19.2n Simplifying m = 16.6 + -19.2n
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