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Simplifying 6n + -3n + -5 = -8(6 + 5n) Reorder the terms: -5 + 6n + -3n = -8(6 + 5n) Combine like terms: 6n + -3n = 3n -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 = 43n -5 + 43n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 -5 + 43n = -48 + 0 -5 + 43n = -48 Add '5' to each side of the equation. -5 + 5 + 43n = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43n = -48 + 5 43n = -48 + 5 Combine like terms: -48 + 5 = -43 43n = -43 Divide each side by '43'. n = -1 Simplifying n = -1
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