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Simplifying 4(n + 2) + 8 = 6(n + -6) Reorder the terms: 4(2 + n) + 8 = 6(n + -6) (2 * 4 + n * 4) + 8 = 6(n + -6) (8 + 4n) + 8 = 6(n + -6) Reorder the terms: 8 + 8 + 4n = 6(n + -6) Combine like terms: 8 + 8 = 16 16 + 4n = 6(n + -6) Reorder the terms: 16 + 4n = 6(-6 + n) 16 + 4n = (-6 * 6 + n * 6) 16 + 4n = (-36 + 6n) Solving 16 + 4n = -36 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + 4n + -6n = -36 + 6n + -6n Combine like terms: 4n + -6n = -2n 16 + -2n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -2n = -36 + 0 16 + -2n = -36 Add '-16' to each side of the equation. 16 + -16 + -2n = -36 + -16 Combine like terms: 16 + -16 = 0 0 + -2n = -36 + -16 -2n = -36 + -16 Combine like terms: -36 + -16 = -52 -2n = -52 Divide each side by '-2'. n = 26 Simplifying n = 26
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