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Simplifying 6(n + -4) = 9 + -3(n + 1) Reorder the terms: 6(-4 + n) = 9 + -3(n + 1) (-4 * 6 + n * 6) = 9 + -3(n + 1) (-24 + 6n) = 9 + -3(n + 1) Reorder the terms: -24 + 6n = 9 + -3(1 + n) -24 + 6n = 9 + (1 * -3 + n * -3) -24 + 6n = 9 + (-3 + -3n) Combine like terms: 9 + -3 = 6 -24 + 6n = 6 + -3n Solving -24 + 6n = 6 + -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. -24 + 6n + 3n = 6 + -3n + 3n Combine like terms: 6n + 3n = 9n -24 + 9n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 -24 + 9n = 6 + 0 -24 + 9n = 6 Add '24' to each side of the equation. -24 + 24 + 9n = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 9n = 6 + 24 9n = 6 + 24 Combine like terms: 6 + 24 = 30 9n = 30 Divide each side by '9'. n = 3.333333333 Simplifying n = 3.333333333
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