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Simplifying 5(n + 7) = -44 + 2(n + 6) Reorder the terms: 5(7 + n) = -44 + 2(n + 6) (7 * 5 + n * 5) = -44 + 2(n + 6) (35 + 5n) = -44 + 2(n + 6) Reorder the terms: 35 + 5n = -44 + 2(6 + n) 35 + 5n = -44 + (6 * 2 + n * 2) 35 + 5n = -44 + (12 + 2n) Combine like terms: -44 + 12 = -32 35 + 5n = -32 + 2n Solving 35 + 5n = -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. 35 + 5n + -2n = -32 + 2n + -2n Combine like terms: 5n + -2n = 3n 35 + 3n = -32 + 2n + -2n Combine like terms: 2n + -2n = 0 35 + 3n = -32 + 0 35 + 3n = -32 Add '-35' to each side of the equation. 35 + -35 + 3n = -32 + -35 Combine like terms: 35 + -35 = 0 0 + 3n = -32 + -35 3n = -32 + -35 Combine like terms: -32 + -35 = -67 3n = -67 Divide each side by '3'. n = -22.33333333 Simplifying n = -22.33333333
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