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Simplifying 52 = -4(8 + -7n) + 8(5n + 2) 52 = (8 * -4 + -7n * -4) + 8(5n + 2) 52 = (-32 + 28n) + 8(5n + 2) Reorder the terms: 52 = -32 + 28n + 8(2 + 5n) 52 = -32 + 28n + (2 * 8 + 5n * 8) 52 = -32 + 28n + (16 + 40n) Reorder the terms: 52 = -32 + 16 + 28n + 40n Combine like terms: -32 + 16 = -16 52 = -16 + 28n + 40n Combine like terms: 28n + 40n = 68n 52 = -16 + 68n Solving 52 = -16 + 68n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68n' to each side of the equation. 52 + -68n = -16 + 68n + -68n Combine like terms: 68n + -68n = 0 52 + -68n = -16 + 0 52 + -68n = -16 Add '-52' to each side of the equation. 52 + -52 + -68n = -16 + -52 Combine like terms: 52 + -52 = 0 0 + -68n = -16 + -52 -68n = -16 + -52 Combine like terms: -16 + -52 = -68 -68n = -68 Divide each side by '-68'. n = 1 Simplifying n = 1
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