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Simplifying -22 = 6(n + 1) + -8(3n + -1) Reorder the terms: -22 = 6(1 + n) + -8(3n + -1) -22 = (1 * 6 + n * 6) + -8(3n + -1) -22 = (6 + 6n) + -8(3n + -1) Reorder the terms: -22 = 6 + 6n + -8(-1 + 3n) -22 = 6 + 6n + (-1 * -8 + 3n * -8) -22 = 6 + 6n + (8 + -24n) Reorder the terms: -22 = 6 + 8 + 6n + -24n Combine like terms: 6 + 8 = 14 -22 = 14 + 6n + -24n Combine like terms: 6n + -24n = -18n -22 = 14 + -18n Solving -22 = 14 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -22 + 18n = 14 + -18n + 18n Combine like terms: -18n + 18n = 0 -22 + 18n = 14 + 0 -22 + 18n = 14 Add '22' to each side of the equation. -22 + 22 + 18n = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 18n = 14 + 22 18n = 14 + 22 Combine like terms: 14 + 22 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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