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Simplifying 10n + -5(5n + -6) = 6(1 + 2n) Reorder the terms: 10n + -5(-6 + 5n) = 6(1 + 2n) 10n + (-6 * -5 + 5n * -5) = 6(1 + 2n) 10n + (30 + -25n) = 6(1 + 2n) Reorder the terms: 30 + 10n + -25n = 6(1 + 2n) Combine like terms: 10n + -25n = -15n 30 + -15n = 6(1 + 2n) 30 + -15n = (1 * 6 + 2n * 6) 30 + -15n = (6 + 12n) Solving 30 + -15n = 6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 30 + -15n + -12n = 6 + 12n + -12n Combine like terms: -15n + -12n = -27n 30 + -27n = 6 + 12n + -12n Combine like terms: 12n + -12n = 0 30 + -27n = 6 + 0 30 + -27n = 6 Add '-30' to each side of the equation. 30 + -30 + -27n = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -27n = 6 + -30 -27n = 6 + -30 Combine like terms: 6 + -30 = -24 -27n = -24 Divide each side by '-27'. n = 0.8888888889 Simplifying n = 0.8888888889
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