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Simplifying 7(2n + 4) = 7(5n + 5) + 1 Reorder the terms: 7(4 + 2n) = 7(5n + 5) + 1 (4 * 7 + 2n * 7) = 7(5n + 5) + 1 (28 + 14n) = 7(5n + 5) + 1 Reorder the terms: 28 + 14n = 7(5 + 5n) + 1 28 + 14n = (5 * 7 + 5n * 7) + 1 28 + 14n = (35 + 35n) + 1 Reorder the terms: 28 + 14n = 35 + 1 + 35n Combine like terms: 35 + 1 = 36 28 + 14n = 36 + 35n Solving 28 + 14n = 36 + 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. 28 + 14n + -35n = 36 + 35n + -35n Combine like terms: 14n + -35n = -21n 28 + -21n = 36 + 35n + -35n Combine like terms: 35n + -35n = 0 28 + -21n = 36 + 0 28 + -21n = 36 Add '-28' to each side of the equation. 28 + -28 + -21n = 36 + -28 Combine like terms: 28 + -28 = 0 0 + -21n = 36 + -28 -21n = 36 + -28 Combine like terms: 36 + -28 = 8 -21n = 8 Divide each side by '-21'. n = -0.380952381 Simplifying n = -0.380952381
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