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Simplifying 3n + -5 = -8(6n + 1) Reorder the terms: -5 + 3n = -8(6n + 1) Reorder the terms: -5 + 3n = -8(1 + 6n) -5 + 3n = (1 * -8 + 6n * -8) -5 + 3n = (-8 + -48n) Solving -5 + 3n = -8 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -5 + 3n + 48n = -8 + -48n + 48n Combine like terms: 3n + 48n = 51n -5 + 51n = -8 + -48n + 48n Combine like terms: -48n + 48n = 0 -5 + 51n = -8 + 0 -5 + 51n = -8 Add '5' to each side of the equation. -5 + 5 + 51n = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 51n = -8 + 5 51n = -8 + 5 Combine like terms: -8 + 5 = -3 51n = -3 Divide each side by '51'. n = -0.05882352941 Simplifying n = -0.05882352941
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