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Simplifying 5(n + -6) = -1(4 + -3n) Reorder the terms: 5(-6 + n) = -1(4 + -3n) (-6 * 5 + n * 5) = -1(4 + -3n) (-30 + 5n) = -1(4 + -3n) -30 + 5n = (4 * -1 + -3n * -1) -30 + 5n = (-4 + 3n) Solving -30 + 5n = -4 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -30 + 5n + -3n = -4 + 3n + -3n Combine like terms: 5n + -3n = 2n -30 + 2n = -4 + 3n + -3n Combine like terms: 3n + -3n = 0 -30 + 2n = -4 + 0 -30 + 2n = -4 Add '30' to each side of the equation. -30 + 30 + 2n = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 2n = -4 + 30 2n = -4 + 30 Combine like terms: -4 + 30 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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