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Simplifying 3n + -5 = -8(6 + 5n) + -3 Reorder the terms: -5 + 3n = -8(6 + 5n) + -3 -5 + 3n = (6 * -8 + 5n * -8) + -3 -5 + 3n = (-48 + -40n) + -3 Reorder the terms: -5 + 3n = -48 + -3 + -40n Combine like terms: -48 + -3 = -51 -5 + 3n = -51 + -40n Solving -5 + 3n = -51 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -5 + 3n + 40n = -51 + -40n + 40n Combine like terms: 3n + 40n = 43n -5 + 43n = -51 + -40n + 40n Combine like terms: -40n + 40n = 0 -5 + 43n = -51 + 0 -5 + 43n = -51 Add '5' to each side of the equation. -5 + 5 + 43n = -51 + 5 Combine like terms: -5 + 5 = 0 0 + 43n = -51 + 5 43n = -51 + 5 Combine like terms: -51 + 5 = -46 43n = -46 Divide each side by '43'. n = -1.069767442 Simplifying n = -1.069767442
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