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Simplifying 2(9n + -1) + 15 + -1(10 + x) = 35 Reorder the terms: 2(-1 + 9n) + 15 + -1(10 + x) = 35 (-1 * 2 + 9n * 2) + 15 + -1(10 + x) = 35 (-2 + 18n) + 15 + -1(10 + x) = 35 -2 + 18n + 15 + (10 * -1 + x * -1) = 35 -2 + 18n + 15 + (-10 + -1x) = 35 Reorder the terms: -2 + 15 + -10 + 18n + -1x = 35 Combine like terms: -2 + 15 = 13 13 + -10 + 18n + -1x = 35 Combine like terms: 13 + -10 = 3 3 + 18n + -1x = 35 Solving 3 + 18n + -1x = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 18n + -3 + -1x = 35 + -3 Reorder the terms: 3 + -3 + 18n + -1x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 18n + -1x = 35 + -3 18n + -1x = 35 + -3 Combine like terms: 35 + -3 = 32 18n + -1x = 32 Add 'x' to each side of the equation. 18n + -1x + x = 32 + x Combine like terms: -1x + x = 0 18n + 0 = 32 + x 18n = 32 + x Divide each side by '18'. n = 1.777777778 + 0.05555555556x Simplifying n = 1.777777778 + 0.05555555556x
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