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Simplifying 3n + -5 = -8(6 + 7n) Reorder the terms: -5 + 3n = -8(6 + 7n) -5 + 3n = (6 * -8 + 7n * -8) -5 + 3n = (-48 + -56n) Solving -5 + 3n = -48 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -5 + 3n + 56n = -48 + -56n + 56n Combine like terms: 3n + 56n = 59n -5 + 59n = -48 + -56n + 56n Combine like terms: -56n + 56n = 0 -5 + 59n = -48 + 0 -5 + 59n = -48 Add '5' to each side of the equation. -5 + 5 + 59n = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 59n = -48 + 5 59n = -48 + 5 Combine like terms: -48 + 5 = -43 59n = -43 Divide each side by '59'. n = -0.7288135593 Simplifying n = -0.7288135593
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