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Simplifying 7(2n + 3) = 8(7n + 6) + 4 Reorder the terms: 7(3 + 2n) = 8(7n + 6) + 4 (3 * 7 + 2n * 7) = 8(7n + 6) + 4 (21 + 14n) = 8(7n + 6) + 4 Reorder the terms: 21 + 14n = 8(6 + 7n) + 4 21 + 14n = (6 * 8 + 7n * 8) + 4 21 + 14n = (48 + 56n) + 4 Reorder the terms: 21 + 14n = 48 + 4 + 56n Combine like terms: 48 + 4 = 52 21 + 14n = 52 + 56n Solving 21 + 14n = 52 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 21 + 14n + -56n = 52 + 56n + -56n Combine like terms: 14n + -56n = -42n 21 + -42n = 52 + 56n + -56n Combine like terms: 56n + -56n = 0 21 + -42n = 52 + 0 21 + -42n = 52 Add '-21' to each side of the equation. 21 + -21 + -42n = 52 + -21 Combine like terms: 21 + -21 = 0 0 + -42n = 52 + -21 -42n = 52 + -21 Combine like terms: 52 + -21 = 31 -42n = 31 Divide each side by '-42'. n = -0.7380952381 Simplifying n = -0.7380952381
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