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Simplifying (n + 5) + -1(n + 3) = 4(n + 4) Reorder the terms: (5 + n) + -1(n + 3) = 4(n + 4) Remove parenthesis around (5 + n) 5 + n + -1(n + 3) = 4(n + 4) Reorder the terms: 5 + n + -1(3 + n) = 4(n + 4) 5 + n + (3 * -1 + n * -1) = 4(n + 4) 5 + n + (-3 + -1n) = 4(n + 4) Reorder the terms: 5 + -3 + n + -1n = 4(n + 4) Combine like terms: 5 + -3 = 2 2 + n + -1n = 4(n + 4) Combine like terms: n + -1n = 0 2 + 0 = 4(n + 4) 2 = 4(n + 4) Reorder the terms: 2 = 4(4 + n) 2 = (4 * 4 + n * 4) 2 = (16 + 4n) Solving 2 = 16 + 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. 2 + -4n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -4n = 16 + 0 2 + -4n = 16 Add '-2' to each side of the equation. 2 + -2 + -4n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = 16 + -2 -4n = 16 + -2 Combine like terms: 16 + -2 = 14 -4n = 14 Divide each side by '-4'. n = -3.5 Simplifying n = -3.5
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