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Simplifying 4(3n + 5) = 8(7n + 7) + 7 Reorder the terms: 4(5 + 3n) = 8(7n + 7) + 7 (5 * 4 + 3n * 4) = 8(7n + 7) + 7 (20 + 12n) = 8(7n + 7) + 7 Reorder the terms: 20 + 12n = 8(7 + 7n) + 7 20 + 12n = (7 * 8 + 7n * 8) + 7 20 + 12n = (56 + 56n) + 7 Reorder the terms: 20 + 12n = 56 + 7 + 56n Combine like terms: 56 + 7 = 63 20 + 12n = 63 + 56n Solving 20 + 12n = 63 + 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. 20 + 12n + -56n = 63 + 56n + -56n Combine like terms: 12n + -56n = -44n 20 + -44n = 63 + 56n + -56n Combine like terms: 56n + -56n = 0 20 + -44n = 63 + 0 20 + -44n = 63 Add '-20' to each side of the equation. 20 + -20 + -44n = 63 + -20 Combine like terms: 20 + -20 = 0 0 + -44n = 63 + -20 -44n = 63 + -20 Combine like terms: 63 + -20 = 43 -44n = 43 Divide each side by '-44'. n = -0.9772727273 Simplifying n = -0.9772727273
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