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Simplifying -5(2n + -3) + -6 = 3(5n + 1) + -8 Reorder the terms: -5(-3 + 2n) + -6 = 3(5n + 1) + -8 (-3 * -5 + 2n * -5) + -6 = 3(5n + 1) + -8 (15 + -10n) + -6 = 3(5n + 1) + -8 Reorder the terms: 15 + -6 + -10n = 3(5n + 1) + -8 Combine like terms: 15 + -6 = 9 9 + -10n = 3(5n + 1) + -8 Reorder the terms: 9 + -10n = 3(1 + 5n) + -8 9 + -10n = (1 * 3 + 5n * 3) + -8 9 + -10n = (3 + 15n) + -8 Reorder the terms: 9 + -10n = 3 + -8 + 15n Combine like terms: 3 + -8 = -5 9 + -10n = -5 + 15n Solving 9 + -10n = -5 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 9 + -10n + -15n = -5 + 15n + -15n Combine like terms: -10n + -15n = -25n 9 + -25n = -5 + 15n + -15n Combine like terms: 15n + -15n = 0 9 + -25n = -5 + 0 9 + -25n = -5 Add '-9' to each side of the equation. 9 + -9 + -25n = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -25n = -5 + -9 -25n = -5 + -9 Combine like terms: -5 + -9 = -14 -25n = -14 Divide each side by '-25'. n = 0.56 Simplifying n = 0.56
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