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Simplifying 5 + -4(5n + -3) = -9(-7n + 2) + -6 Reorder the terms: 5 + -4(-3 + 5n) = -9(-7n + 2) + -6 5 + (-3 * -4 + 5n * -4) = -9(-7n + 2) + -6 5 + (12 + -20n) = -9(-7n + 2) + -6 Combine like terms: 5 + 12 = 17 17 + -20n = -9(-7n + 2) + -6 Reorder the terms: 17 + -20n = -9(2 + -7n) + -6 17 + -20n = (2 * -9 + -7n * -9) + -6 17 + -20n = (-18 + 63n) + -6 Reorder the terms: 17 + -20n = -18 + -6 + 63n Combine like terms: -18 + -6 = -24 17 + -20n = -24 + 63n Solving 17 + -20n = -24 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 17 + -20n + -63n = -24 + 63n + -63n Combine like terms: -20n + -63n = -83n 17 + -83n = -24 + 63n + -63n Combine like terms: 63n + -63n = 0 17 + -83n = -24 + 0 17 + -83n = -24 Add '-17' to each side of the equation. 17 + -17 + -83n = -24 + -17 Combine like terms: 17 + -17 = 0 0 + -83n = -24 + -17 -83n = -24 + -17 Combine like terms: -24 + -17 = -41 -83n = -41 Divide each side by '-83'. n = 0.4939759036 Simplifying n = 0.4939759036
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