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Simplifying 8r + -6n + -1(6 + 3n) = 0 8r + -6n + (6 * -1 + 3n * -1) = 0 8r + -6n + (-6 + -3n) = 0 Reorder the terms: -6 + -6n + -3n + 8r = 0 Combine like terms: -6n + -3n = -9n -6 + -9n + 8r = 0 Solving -6 + -9n + 8r = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -9n + 6 + 8r = 0 + 6 Reorder the terms: -6 + 6 + -9n + 8r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -9n + 8r = 0 + 6 -9n + 8r = 0 + 6 Combine like terms: 0 + 6 = 6 -9n + 8r = 6 Add '-8r' to each side of the equation. -9n + 8r + -8r = 6 + -8r Combine like terms: 8r + -8r = 0 -9n + 0 = 6 + -8r -9n = 6 + -8r Divide each side by '-9'. n = -0.6666666667 + 0.8888888889r Simplifying n = -0.6666666667 + 0.8888888889r
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