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Simplifying -2(-2 + -4n) + -4n = -2 + 5(n + 3) (-2 * -2 + -4n * -2) + -4n = -2 + 5(n + 3) (4 + 8n) + -4n = -2 + 5(n + 3) Combine like terms: 8n + -4n = 4n 4 + 4n = -2 + 5(n + 3) Reorder the terms: 4 + 4n = -2 + 5(3 + n) 4 + 4n = -2 + (3 * 5 + n * 5) 4 + 4n = -2 + (15 + 5n) Combine like terms: -2 + 15 = 13 4 + 4n = 13 + 5n Solving 4 + 4n = 13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 4n + -5n = 13 + 5n + -5n Combine like terms: 4n + -5n = -1n 4 + -1n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + -1n = 13 + 0 4 + -1n = 13 Add '-4' to each side of the equation. 4 + -4 + -1n = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 13 + -4 -1n = 13 + -4 Combine like terms: 13 + -4 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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