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Simplifying 2 + 18n + -22n + -8 = -7n + n Reorder the terms: 2 + -8 + 18n + -22n = -7n + n Combine like terms: 2 + -8 = -6 -6 + 18n + -22n = -7n + n Combine like terms: 18n + -22n = -4n -6 + -4n = -7n + n Combine like terms: -7n + n = -6n -6 + -4n = -6n Solving -6 + -4n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -6 + -4n + 6n = -6n + 6n Combine like terms: -4n + 6n = 2n -6 + 2n = -6n + 6n Combine like terms: -6n + 6n = 0 -6 + 2n = 0 Add '6' to each side of the equation. -6 + 6 + 2n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 0 + 6 2n = 0 + 6 Combine like terms: 0 + 6 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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