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Simplifying 4n + 5 = 8(4n + -1) Reorder the terms: 5 + 4n = 8(4n + -1) Reorder the terms: 5 + 4n = 8(-1 + 4n) 5 + 4n = (-1 * 8 + 4n * 8) 5 + 4n = (-8 + 32n) Solving 5 + 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. 5 + 4n + -32n = -8 + 32n + -32n Combine like terms: 4n + -32n = -28n 5 + -28n = -8 + 32n + -32n Combine like terms: 32n + -32n = 0 5 + -28n = -8 + 0 5 + -28n = -8 Add '-5' to each side of the equation. 5 + -5 + -28n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -28n = -8 + -5 -28n = -8 + -5 Combine like terms: -8 + -5 = -13 -28n = -13 Divide each side by '-28'. n = 0.4642857143 Simplifying n = 0.4642857143
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