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Simplifying -2n + -9(3n + -6) = 2(n + -4) Reorder the terms: -2n + -9(-6 + 3n) = 2(n + -4) -2n + (-6 * -9 + 3n * -9) = 2(n + -4) -2n + (54 + -27n) = 2(n + -4) Reorder the terms: 54 + -2n + -27n = 2(n + -4) Combine like terms: -2n + -27n = -29n 54 + -29n = 2(n + -4) Reorder the terms: 54 + -29n = 2(-4 + n) 54 + -29n = (-4 * 2 + n * 2) 54 + -29n = (-8 + 2n) Solving 54 + -29n = -8 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 54 + -29n + -2n = -8 + 2n + -2n Combine like terms: -29n + -2n = -31n 54 + -31n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 54 + -31n = -8 + 0 54 + -31n = -8 Add '-54' to each side of the equation. 54 + -54 + -31n = -8 + -54 Combine like terms: 54 + -54 = 0 0 + -31n = -8 + -54 -31n = -8 + -54 Combine like terms: -8 + -54 = -62 -31n = -62 Divide each side by '-31'. n = 2 Simplifying n = 2
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