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Simplifying 3n + -5 = 8(4n + 5) Reorder the terms: -5 + 3n = 8(4n + 5) Reorder the terms: -5 + 3n = 8(5 + 4n) -5 + 3n = (5 * 8 + 4n * 8) -5 + 3n = (40 + 32n) Solving -5 + 3n = 40 + 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 + 3n + -32n = 40 + 32n + -32n Combine like terms: 3n + -32n = -29n -5 + -29n = 40 + 32n + -32n Combine like terms: 32n + -32n = 0 -5 + -29n = 40 + 0 -5 + -29n = 40 Add '5' to each side of the equation. -5 + 5 + -29n = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -29n = 40 + 5 -29n = 40 + 5 Combine like terms: 40 + 5 = 45 -29n = 45 Divide each side by '-29'. n = -1.551724138 Simplifying n = -1.551724138
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