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Simplifying 6(3n + -1) + -1n = 8 + -2(5 + -2n) Reorder the terms: 6(-1 + 3n) + -1n = 8 + -2(5 + -2n) (-1 * 6 + 3n * 6) + -1n = 8 + -2(5 + -2n) (-6 + 18n) + -1n = 8 + -2(5 + -2n) Combine like terms: 18n + -1n = 17n -6 + 17n = 8 + -2(5 + -2n) -6 + 17n = 8 + (5 * -2 + -2n * -2) -6 + 17n = 8 + (-10 + 4n) Combine like terms: 8 + -10 = -2 -6 + 17n = -2 + 4n Solving -6 + 17n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -6 + 17n + -4n = -2 + 4n + -4n Combine like terms: 17n + -4n = 13n -6 + 13n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + 13n = -2 + 0 -6 + 13n = -2 Add '6' to each side of the equation. -6 + 6 + 13n = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 13n = -2 + 6 13n = -2 + 6 Combine like terms: -2 + 6 = 4 13n = 4 Divide each side by '13'. n = 0.3076923077 Simplifying n = 0.3076923077
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