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Simplifying -1(4n + -4) + 5n = 2n + 8 Reorder the terms: -1(-4 + 4n) + 5n = 2n + 8 (-4 * -1 + 4n * -1) + 5n = 2n + 8 (4 + -4n) + 5n = 2n + 8 Combine like terms: -4n + 5n = 1n 4 + 1n = 2n + 8 Reorder the terms: 4 + 1n = 8 + 2n Solving 4 + 1n = 8 + 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. 4 + 1n + -2n = 8 + 2n + -2n Combine like terms: 1n + -2n = -1n 4 + -1n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + -1n = 8 + 0 4 + -1n = 8 Add '-4' to each side of the equation. 4 + -4 + -1n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 8 + -4 -1n = 8 + -4 Combine like terms: 8 + -4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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