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Simplifying -5(n + -3) = 8 + -4n Reorder the terms: -5(-3 + n) = 8 + -4n (-3 * -5 + n * -5) = 8 + -4n (15 + -5n) = 8 + -4n Solving 15 + -5n = 8 + -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. 15 + -5n + 4n = 8 + -4n + 4n Combine like terms: -5n + 4n = -1n 15 + -1n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 15 + -1n = 8 + 0 15 + -1n = 8 Add '-15' to each side of the equation. 15 + -15 + -1n = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 8 + -15 -1n = 8 + -15 Combine like terms: 8 + -15 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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