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Simplifying 2 + 3(n + -4) = 9 + -1(3n + 2) Reorder the terms: 2 + 3(-4 + n) = 9 + -1(3n + 2) 2 + (-4 * 3 + n * 3) = 9 + -1(3n + 2) 2 + (-12 + 3n) = 9 + -1(3n + 2) Combine like terms: 2 + -12 = -10 -10 + 3n = 9 + -1(3n + 2) Reorder the terms: -10 + 3n = 9 + -1(2 + 3n) -10 + 3n = 9 + (2 * -1 + 3n * -1) -10 + 3n = 9 + (-2 + -3n) Combine like terms: 9 + -2 = 7 -10 + 3n = 7 + -3n Solving -10 + 3n = 7 + -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. -10 + 3n + 3n = 7 + -3n + 3n Combine like terms: 3n + 3n = 6n -10 + 6n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 6n = 7 + 0 -10 + 6n = 7 Add '10' to each side of the equation. -10 + 10 + 6n = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 7 + 10 6n = 7 + 10 Combine like terms: 7 + 10 = 17 6n = 17 Divide each side by '6'. n = 2.833333333 Simplifying n = 2.833333333
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