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Simplifying 4n + 4 + 4 = 2(1 + -7n) + -6(6n + 8) Reorder the terms: 4 + 4 + 4n = 2(1 + -7n) + -6(6n + 8) Combine like terms: 4 + 4 = 8 8 + 4n = 2(1 + -7n) + -6(6n + 8) 8 + 4n = (1 * 2 + -7n * 2) + -6(6n + 8) 8 + 4n = (2 + -14n) + -6(6n + 8) Reorder the terms: 8 + 4n = 2 + -14n + -6(8 + 6n) 8 + 4n = 2 + -14n + (8 * -6 + 6n * -6) 8 + 4n = 2 + -14n + (-48 + -36n) Reorder the terms: 8 + 4n = 2 + -48 + -14n + -36n Combine like terms: 2 + -48 = -46 8 + 4n = -46 + -14n + -36n Combine like terms: -14n + -36n = -50n 8 + 4n = -46 + -50n Solving 8 + 4n = -46 + -50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50n' to each side of the equation. 8 + 4n + 50n = -46 + -50n + 50n Combine like terms: 4n + 50n = 54n 8 + 54n = -46 + -50n + 50n Combine like terms: -50n + 50n = 0 8 + 54n = -46 + 0 8 + 54n = -46 Add '-8' to each side of the equation. 8 + -8 + 54n = -46 + -8 Combine like terms: 8 + -8 = 0 0 + 54n = -46 + -8 54n = -46 + -8 Combine like terms: -46 + -8 = -54 54n = -54 Divide each side by '54'. n = -1 Simplifying n = -1
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