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Simplifying 4(n + 4) = 2(n + -6) Reorder the terms: 4(4 + n) = 2(n + -6) (4 * 4 + n * 4) = 2(n + -6) (16 + 4n) = 2(n + -6) Reorder the terms: 16 + 4n = 2(-6 + n) 16 + 4n = (-6 * 2 + n * 2) 16 + 4n = (-12 + 2n) Solving 16 + 4n = -12 + 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. 16 + 4n + -2n = -12 + 2n + -2n Combine like terms: 4n + -2n = 2n 16 + 2n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 16 + 2n = -12 + 0 16 + 2n = -12 Add '-16' to each side of the equation. 16 + -16 + 2n = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = -12 + -16 2n = -12 + -16 Combine like terms: -12 + -16 = -28 2n = -28 Divide each side by '2'. n = -14 Simplifying n = -14
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