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Simplifying 4(n + 7) = -44 + 2(n + 6) Reorder the terms: 4(7 + n) = -44 + 2(n + 6) (7 * 4 + n * 4) = -44 + 2(n + 6) (28 + 4n) = -44 + 2(n + 6) Reorder the terms: 28 + 4n = -44 + 2(6 + n) 28 + 4n = -44 + (6 * 2 + n * 2) 28 + 4n = -44 + (12 + 2n) Combine like terms: -44 + 12 = -32 28 + 4n = -32 + 2n Solving 28 + 4n = -32 + 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. 28 + 4n + -2n = -32 + 2n + -2n Combine like terms: 4n + -2n = 2n 28 + 2n = -32 + 2n + -2n Combine like terms: 2n + -2n = 0 28 + 2n = -32 + 0 28 + 2n = -32 Add '-28' to each side of the equation. 28 + -28 + 2n = -32 + -28 Combine like terms: 28 + -28 = 0 0 + 2n = -32 + -28 2n = -32 + -28 Combine like terms: -32 + -28 = -60 2n = -60 Divide each side by '2'. n = -30 Simplifying n = -30
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