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Simplifying 5n + -3(n + -1) = 4n + -15 Reorder the terms: 5n + -3(-1 + n) = 4n + -15 5n + (-1 * -3 + n * -3) = 4n + -15 5n + (3 + -3n) = 4n + -15 Reorder the terms: 3 + 5n + -3n = 4n + -15 Combine like terms: 5n + -3n = 2n 3 + 2n = 4n + -15 Reorder the terms: 3 + 2n = -15 + 4n Solving 3 + 2n = -15 + 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. 3 + 2n + -4n = -15 + 4n + -4n Combine like terms: 2n + -4n = -2n 3 + -2n = -15 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -2n = -15 + 0 3 + -2n = -15 Add '-3' to each side of the equation. 3 + -3 + -2n = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = -15 + -3 -2n = -15 + -3 Combine like terms: -15 + -3 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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