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