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