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Simplifying 3n + -5 = -8(6 + -5n) Reorder the terms: -5 + 3n = -8(6 + -5n) -5 + 3n = (6 * -8 + -5n * -8) -5 + 3n = (-48 + 40n) Solving -5 + 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. -5 + 3n + -40n = -48 + 40n + -40n Combine like terms: 3n + -40n = -37n -5 + -37n = -48 + 40n + -40n Combine like terms: 40n + -40n = 0 -5 + -37n = -48 + 0 -5 + -37n = -48 Add '5' to each side of the equation. -5 + 5 + -37n = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -37n = -48 + 5 -37n = -48 + 5 Combine like terms: -48 + 5 = -43 -37n = -43 Divide each side by '-37'. n = 1.162162162 Simplifying n = 1.162162162
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