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Simplifying -5(n + -3) + (n + 1) = 0 Reorder the terms: -5(-3 + n) + (n + 1) = 0 (-3 * -5 + n * -5) + (n + 1) = 0 (15 + -5n) + (n + 1) = 0 Reorder the terms: 15 + -5n + (1 + n) = 0 Remove parenthesis around (1 + n) 15 + -5n + 1 + n = 0 Reorder the terms: 15 + 1 + -5n + n = 0 Combine like terms: 15 + 1 = 16 16 + -5n + n = 0 Combine like terms: -5n + n = -4n 16 + -4n = 0 Solving 16 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4n = 0 + -16 -4n = 0 + -16 Combine like terms: 0 + -16 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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