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Simplifying 2(2n + 2) = 7(5n + 7) + 2 Reorder the terms: 2(2 + 2n) = 7(5n + 7) + 2 (2 * 2 + 2n * 2) = 7(5n + 7) + 2 (4 + 4n) = 7(5n + 7) + 2 Reorder the terms: 4 + 4n = 7(7 + 5n) + 2 4 + 4n = (7 * 7 + 5n * 7) + 2 4 + 4n = (49 + 35n) + 2 Reorder the terms: 4 + 4n = 49 + 2 + 35n Combine like terms: 49 + 2 = 51 4 + 4n = 51 + 35n Solving 4 + 4n = 51 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 4 + 4n + -35n = 51 + 35n + -35n Combine like terms: 4n + -35n = -31n 4 + -31n = 51 + 35n + -35n Combine like terms: 35n + -35n = 0 4 + -31n = 51 + 0 4 + -31n = 51 Add '-4' to each side of the equation. 4 + -4 + -31n = 51 + -4 Combine like terms: 4 + -4 = 0 0 + -31n = 51 + -4 -31n = 51 + -4 Combine like terms: 51 + -4 = 47 -31n = 47 Divide each side by '-31'. n = -1.516129032 Simplifying n = -1.516129032
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