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Simplifying 5 + -1(n + -4) = 3(n + 12) Reorder the terms: 5 + -1(-4 + n) = 3(n + 12) 5 + (-4 * -1 + n * -1) = 3(n + 12) 5 + (4 + -1n) = 3(n + 12) Combine like terms: 5 + 4 = 9 9 + -1n = 3(n + 12) Reorder the terms: 9 + -1n = 3(12 + n) 9 + -1n = (12 * 3 + n * 3) 9 + -1n = (36 + 3n) Solving 9 + -1n = 36 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + -1n + -3n = 36 + 3n + -3n Combine like terms: -1n + -3n = -4n 9 + -4n = 36 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + -4n = 36 + 0 9 + -4n = 36 Add '-9' to each side of the equation. 9 + -9 + -4n = 36 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 36 + -9 -4n = 36 + -9 Combine like terms: 36 + -9 = 27 -4n = 27 Divide each side by '-4'. n = -6.75 Simplifying n = -6.75
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