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Simplifying -1(n + -4) = 5(3n + 2) Reorder the terms: -1(-4 + n) = 5(3n + 2) (-4 * -1 + n * -1) = 5(3n + 2) (4 + -1n) = 5(3n + 2) Reorder the terms: 4 + -1n = 5(2 + 3n) 4 + -1n = (2 * 5 + 3n * 5) 4 + -1n = (10 + 15n) Solving 4 + -1n = 10 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 4 + -1n + -15n = 10 + 15n + -15n Combine like terms: -1n + -15n = -16n 4 + -16n = 10 + 15n + -15n Combine like terms: 15n + -15n = 0 4 + -16n = 10 + 0 4 + -16n = 10 Add '-4' to each side of the equation. 4 + -4 + -16n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -16n = 10 + -4 -16n = 10 + -4 Combine like terms: 10 + -4 = 6 -16n = 6 Divide each side by '-16'. n = -0.375 Simplifying n = -0.375
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