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Simplifying 7n + 40 = 7n + 8(1 + 4n) Reorder the terms: 40 + 7n = 7n + 8(1 + 4n) 40 + 7n = 7n + (1 * 8 + 4n * 8) 40 + 7n = 7n + (8 + 32n) Reorder the terms: 40 + 7n = 8 + 7n + 32n Combine like terms: 7n + 32n = 39n 40 + 7n = 8 + 39n Solving 40 + 7n = 8 + 39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39n' to each side of the equation. 40 + 7n + -39n = 8 + 39n + -39n Combine like terms: 7n + -39n = -32n 40 + -32n = 8 + 39n + -39n Combine like terms: 39n + -39n = 0 40 + -32n = 8 + 0 40 + -32n = 8 Add '-40' to each side of the equation. 40 + -40 + -32n = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -32n = 8 + -40 -32n = 8 + -40 Combine like terms: 8 + -40 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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