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Simplifying -29 = 8(4n + 4) + -1(5n + 7) Reorder the terms: -29 = 8(4 + 4n) + -1(5n + 7) -29 = (4 * 8 + 4n * 8) + -1(5n + 7) -29 = (32 + 32n) + -1(5n + 7) Reorder the terms: -29 = 32 + 32n + -1(7 + 5n) -29 = 32 + 32n + (7 * -1 + 5n * -1) -29 = 32 + 32n + (-7 + -5n) Reorder the terms: -29 = 32 + -7 + 32n + -5n Combine like terms: 32 + -7 = 25 -29 = 25 + 32n + -5n Combine like terms: 32n + -5n = 27n -29 = 25 + 27n Solving -29 = 25 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -29 + -27n = 25 + 27n + -27n Combine like terms: 27n + -27n = 0 -29 + -27n = 25 + 0 -29 + -27n = 25 Add '29' to each side of the equation. -29 + 29 + -27n = 25 + 29 Combine like terms: -29 + 29 = 0 0 + -27n = 25 + 29 -27n = 25 + 29 Combine like terms: 25 + 29 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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