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Simplifying 4(n + 5) = 8(4n + -1) Reorder the terms: 4(5 + n) = 8(4n + -1) (5 * 4 + n * 4) = 8(4n + -1) (20 + 4n) = 8(4n + -1) Reorder the terms: 20 + 4n = 8(-1 + 4n) 20 + 4n = (-1 * 8 + 4n * 8) 20 + 4n = (-8 + 32n) Solving 20 + 4n = -8 + 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. 20 + 4n + -32n = -8 + 32n + -32n Combine like terms: 4n + -32n = -28n 20 + -28n = -8 + 32n + -32n Combine like terms: 32n + -32n = 0 20 + -28n = -8 + 0 20 + -28n = -8 Add '-20' to each side of the equation. 20 + -20 + -28n = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -28n = -8 + -20 -28n = -8 + -20 Combine like terms: -8 + -20 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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