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Simplifying -4 + 8(7n + 5) = 7(9n + 5) + -3 Reorder the terms: -4 + 8(5 + 7n) = 7(9n + 5) + -3 -4 + (5 * 8 + 7n * 8) = 7(9n + 5) + -3 -4 + (40 + 56n) = 7(9n + 5) + -3 Combine like terms: -4 + 40 = 36 36 + 56n = 7(9n + 5) + -3 Reorder the terms: 36 + 56n = 7(5 + 9n) + -3 36 + 56n = (5 * 7 + 9n * 7) + -3 36 + 56n = (35 + 63n) + -3 Reorder the terms: 36 + 56n = 35 + -3 + 63n Combine like terms: 35 + -3 = 32 36 + 56n = 32 + 63n Solving 36 + 56n = 32 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 36 + 56n + -63n = 32 + 63n + -63n Combine like terms: 56n + -63n = -7n 36 + -7n = 32 + 63n + -63n Combine like terms: 63n + -63n = 0 36 + -7n = 32 + 0 36 + -7n = 32 Add '-36' to each side of the equation. 36 + -36 + -7n = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -7n = 32 + -36 -7n = 32 + -36 Combine like terms: 32 + -36 = -4 -7n = -4 Divide each side by '-7'. n = 0.5714285714 Simplifying n = 0.5714285714
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