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Simplifying 2(9n + -1) + -1(10 + x) = 35 Reorder the terms: 2(-1 + 9n) + -1(10 + x) = 35 (-1 * 2 + 9n * 2) + -1(10 + x) = 35 (-2 + 18n) + -1(10 + x) = 35 -2 + 18n + (10 * -1 + x * -1) = 35 -2 + 18n + (-10 + -1x) = 35 Reorder the terms: -2 + -10 + 18n + -1x = 35 Combine like terms: -2 + -10 = -12 -12 + 18n + -1x = 35 Solving -12 + 18n + -1x = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 18n + 12 + -1x = 35 + 12 Reorder the terms: -12 + 12 + 18n + -1x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 18n + -1x = 35 + 12 18n + -1x = 35 + 12 Combine like terms: 35 + 12 = 47 18n + -1x = 47 Add 'x' to each side of the equation. 18n + -1x + x = 47 + x Combine like terms: -1x + x = 0 18n + 0 = 47 + x 18n = 47 + x Divide each side by '18'. n = 2.611111111 + 0.05555555556x Simplifying n = 2.611111111 + 0.05555555556x
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