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Simplifying 9 + -6(n + -6) + -10n = 3 + -1(2n + 8) + n Reorder the terms: 9 + -6(-6 + n) + -10n = 3 + -1(2n + 8) + n 9 + (-6 * -6 + n * -6) + -10n = 3 + -1(2n + 8) + n 9 + (36 + -6n) + -10n = 3 + -1(2n + 8) + n Combine like terms: 9 + 36 = 45 45 + -6n + -10n = 3 + -1(2n + 8) + n Combine like terms: -6n + -10n = -16n 45 + -16n = 3 + -1(2n + 8) + n Reorder the terms: 45 + -16n = 3 + -1(8 + 2n) + n 45 + -16n = 3 + (8 * -1 + 2n * -1) + n 45 + -16n = 3 + (-8 + -2n) + n Combine like terms: 3 + -8 = -5 45 + -16n = -5 + -2n + n Combine like terms: -2n + n = -1n 45 + -16n = -5 + -1n Solving 45 + -16n = -5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 45 + -16n + n = -5 + -1n + n Combine like terms: -16n + n = -15n 45 + -15n = -5 + -1n + n Combine like terms: -1n + n = 0 45 + -15n = -5 + 0 45 + -15n = -5 Add '-45' to each side of the equation. 45 + -45 + -15n = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -15n = -5 + -45 -15n = -5 + -45 Combine like terms: -5 + -45 = -50 -15n = -50 Divide each side by '-15'. n = 3.333333333 Simplifying n = 3.333333333
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