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Simplifying 4n + 35 = 7(n + 8) Reorder the terms: 35 + 4n = 7(n + 8) Reorder the terms: 35 + 4n = 7(8 + n) 35 + 4n = (8 * 7 + n * 7) 35 + 4n = (56 + 7n) Solving 35 + 4n = 56 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 35 + 4n + -7n = 56 + 7n + -7n Combine like terms: 4n + -7n = -3n 35 + -3n = 56 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + -3n = 56 + 0 35 + -3n = 56 Add '-35' to each side of the equation. 35 + -35 + -3n = 56 + -35 Combine like terms: 35 + -35 = 0 0 + -3n = 56 + -35 -3n = 56 + -35 Combine like terms: 56 + -35 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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