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Simplifying 5 + -1(n + -4) = 2(n + 1) Reorder the terms: 5 + -1(-4 + n) = 2(n + 1) 5 + (-4 * -1 + n * -1) = 2(n + 1) 5 + (4 + -1n) = 2(n + 1) Combine like terms: 5 + 4 = 9 9 + -1n = 2(n + 1) Reorder the terms: 9 + -1n = 2(1 + n) 9 + -1n = (1 * 2 + n * 2) 9 + -1n = (2 + 2n) Solving 9 + -1n = 2 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 9 + -1n + -2n = 2 + 2n + -2n Combine like terms: -1n + -2n = -3n 9 + -3n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + -3n = 2 + 0 9 + -3n = 2 Add '-9' to each side of the equation. 9 + -9 + -3n = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = 2 + -9 -3n = 2 + -9 Combine like terms: 2 + -9 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333
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