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Simplifying 3n + -2 = -8(6 + 5n) Reorder the terms: -2 + 3n = -8(6 + 5n) -2 + 3n = (6 * -8 + 5n * -8) -2 + 3n = (-48 + -40n) Solving -2 + 3n = -48 + -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. -2 + 3n + 40n = -48 + -40n + 40n Combine like terms: 3n + 40n = 43n -2 + 43n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 -2 + 43n = -48 + 0 -2 + 43n = -48 Add '2' to each side of the equation. -2 + 2 + 43n = -48 + 2 Combine like terms: -2 + 2 = 0 0 + 43n = -48 + 2 43n = -48 + 2 Combine like terms: -48 + 2 = -46 43n = -46 Divide each side by '43'. n = -1.069767442 Simplifying n = -1.069767442
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