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Simplifying 2(2n + 2) = 6(6n + 5) + 7 Reorder the terms: 2(2 + 2n) = 6(6n + 5) + 7 (2 * 2 + 2n * 2) = 6(6n + 5) + 7 (4 + 4n) = 6(6n + 5) + 7 Reorder the terms: 4 + 4n = 6(5 + 6n) + 7 4 + 4n = (5 * 6 + 6n * 6) + 7 4 + 4n = (30 + 36n) + 7 Reorder the terms: 4 + 4n = 30 + 7 + 36n Combine like terms: 30 + 7 = 37 4 + 4n = 37 + 36n Solving 4 + 4n = 37 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 4 + 4n + -36n = 37 + 36n + -36n Combine like terms: 4n + -36n = -32n 4 + -32n = 37 + 36n + -36n Combine like terms: 36n + -36n = 0 4 + -32n = 37 + 0 4 + -32n = 37 Add '-4' to each side of the equation. 4 + -4 + -32n = 37 + -4 Combine like terms: 4 + -4 = 0 0 + -32n = 37 + -4 -32n = 37 + -4 Combine like terms: 37 + -4 = 33 -32n = 33 Divide each side by '-32'. n = -1.03125 Simplifying n = -1.03125
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