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Simplifying 5(n + 7) = 2n + 44 Reorder the terms: 5(7 + n) = 2n + 44 (7 * 5 + n * 5) = 2n + 44 (35 + 5n) = 2n + 44 Reorder the terms: 35 + 5n = 44 + 2n Solving 35 + 5n = 44 + 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 = 44 + 2n + -2n Combine like terms: 5n + -2n = 3n 35 + 3n = 44 + 2n + -2n Combine like terms: 2n + -2n = 0 35 + 3n = 44 + 0 35 + 3n = 44 Add '-35' to each side of the equation. 35 + -35 + 3n = 44 + -35 Combine like terms: 35 + -35 = 0 0 + 3n = 44 + -35 3n = 44 + -35 Combine like terms: 44 + -35 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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