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Simplifying n + -5(n + -3) = -1n + 6 Reorder the terms: n + -5(-3 + n) = -1n + 6 n + (-3 * -5 + n * -5) = -1n + 6 n + (15 + -5n) = -1n + 6 Reorder the terms: 15 + n + -5n = -1n + 6 Combine like terms: n + -5n = -4n 15 + -4n = -1n + 6 Reorder the terms: 15 + -4n = 6 + -1n Solving 15 + -4n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 15 + -4n + n = 6 + -1n + n Combine like terms: -4n + n = -3n 15 + -3n = 6 + -1n + n Combine like terms: -1n + n = 0 15 + -3n = 6 + 0 15 + -3n = 6 Add '-15' to each side of the equation. 15 + -15 + -3n = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -3n = 6 + -15 -3n = 6 + -15 Combine like terms: 6 + -15 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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