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Simplifying (-6n + 4r + -1) + -1(6n + -5) = 0 Reorder the terms: (-1 + -6n + 4r) + -1(6n + -5) = 0 Remove parenthesis around (-1 + -6n + 4r) -1 + -6n + 4r + -1(6n + -5) = 0 Reorder the terms: -1 + -6n + 4r + -1(-5 + 6n) = 0 -1 + -6n + 4r + (-5 * -1 + 6n * -1) = 0 -1 + -6n + 4r + (5 + -6n) = 0 Reorder the terms: -1 + 5 + -6n + -6n + 4r = 0 Combine like terms: -1 + 5 = 4 4 + -6n + -6n + 4r = 0 Combine like terms: -6n + -6n = -12n 4 + -12n + 4r = 0 Solving 4 + -12n + 4r = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -12n + -4 + 4r = 0 + -4 Reorder the terms: 4 + -4 + -12n + 4r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12n + 4r = 0 + -4 -12n + 4r = 0 + -4 Combine like terms: 0 + -4 = -4 -12n + 4r = -4 Add '-4r' to each side of the equation. -12n + 4r + -4r = -4 + -4r Combine like terms: 4r + -4r = 0 -12n + 0 = -4 + -4r -12n = -4 + -4r Divide each side by '-12'. n = 0.3333333333 + 0.3333333333r Simplifying n = 0.3333333333 + 0.3333333333r
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