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Simplifying 3n + -4 = -8(6 + 5n) + 1 Reorder the terms: -4 + 3n = -8(6 + 5n) + 1 -4 + 3n = (6 * -8 + 5n * -8) + 1 -4 + 3n = (-48 + -40n) + 1 Reorder the terms: -4 + 3n = -48 + 1 + -40n Combine like terms: -48 + 1 = -47 -4 + 3n = -47 + -40n Solving -4 + 3n = -47 + -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. -4 + 3n + 40n = -47 + -40n + 40n Combine like terms: 3n + 40n = 43n -4 + 43n = -47 + -40n + 40n Combine like terms: -40n + 40n = 0 -4 + 43n = -47 + 0 -4 + 43n = -47 Add '4' to each side of the equation. -4 + 4 + 43n = -47 + 4 Combine like terms: -4 + 4 = 0 0 + 43n = -47 + 4 43n = -47 + 4 Combine like terms: -47 + 4 = -43 43n = -43 Divide each side by '43'. n = -1 Simplifying n = -1
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