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Simplifying 8n + -4(n + -2) = 5(n + -1) Reorder the terms: 8n + -4(-2 + n) = 5(n + -1) 8n + (-2 * -4 + n * -4) = 5(n + -1) 8n + (8 + -4n) = 5(n + -1) Reorder the terms: 8 + 8n + -4n = 5(n + -1) Combine like terms: 8n + -4n = 4n 8 + 4n = 5(n + -1) Reorder the terms: 8 + 4n = 5(-1 + n) 8 + 4n = (-1 * 5 + n * 5) 8 + 4n = (-5 + 5n) Solving 8 + 4n = -5 + 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. 8 + 4n + -5n = -5 + 5n + -5n Combine like terms: 4n + -5n = -1n 8 + -1n = -5 + 5n + -5n Combine like terms: 5n + -5n = 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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