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Simplifying 3n + 35 = 8(4n + 8) Reorder the terms: 35 + 3n = 8(4n + 8) Reorder the terms: 35 + 3n = 8(8 + 4n) 35 + 3n = (8 * 8 + 4n * 8) 35 + 3n = (64 + 32n) Solving 35 + 3n = 64 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 35 + 3n + -32n = 64 + 32n + -32n Combine like terms: 3n + -32n = -29n 35 + -29n = 64 + 32n + -32n Combine like terms: 32n + -32n = 0 35 + -29n = 64 + 0 35 + -29n = 64 Add '-35' to each side of the equation. 35 + -35 + -29n = 64 + -35 Combine like terms: 35 + -35 = 0 0 + -29n = 64 + -35 -29n = 64 + -35 Combine like terms: 64 + -35 = 29 -29n = 29 Divide each side by '-29'. n = -1 Simplifying n = -1
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