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Simplifying 2(9n + -1) + 7(10 + x) = 35 Reorder the terms: 2(-1 + 9n) + 7(10 + x) = 35 (-1 * 2 + 9n * 2) + 7(10 + x) = 35 (-2 + 18n) + 7(10 + x) = 35 -2 + 18n + (10 * 7 + x * 7) = 35 -2 + 18n + (70 + 7x) = 35 Reorder the terms: -2 + 70 + 18n + 7x = 35 Combine like terms: -2 + 70 = 68 68 + 18n + 7x = 35 Solving 68 + 18n + 7x = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + 18n + -68 + 7x = 35 + -68 Reorder the terms: 68 + -68 + 18n + 7x = 35 + -68 Combine like terms: 68 + -68 = 0 0 + 18n + 7x = 35 + -68 18n + 7x = 35 + -68 Combine like terms: 35 + -68 = -33 18n + 7x = -33 Add '-7x' to each side of the equation. 18n + 7x + -7x = -33 + -7x Combine like terms: 7x + -7x = 0 18n + 0 = -33 + -7x 18n = -33 + -7x Divide each side by '18'. n = -1.833333333 + -0.3888888889x Simplifying n = -1.833333333 + -0.3888888889x
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