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Simplifying 8 + -2n = 4(5 + -1n) + -22 8 + -2n = (5 * 4 + -1n * 4) + -22 8 + -2n = (20 + -4n) + -22 Reorder the terms: 8 + -2n = 20 + -22 + -4n Combine like terms: 20 + -22 = -2 8 + -2n = -2 + -4n Solving 8 + -2n = -2 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + -2n + 4n = -2 + -4n + 4n Combine like terms: -2n + 4n = 2n 8 + 2n = -2 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + 2n = -2 + 0 8 + 2n = -2 Add '-8' to each side of the equation. 8 + -8 + 2n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = -2 + -8 2n = -2 + -8 Combine like terms: -2 + -8 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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