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Simplifying 3(r + n) = 5(r + -3) + 8 Reorder the terms: 3(n + r) = 5(r + -3) + 8 (n * 3 + r * 3) = 5(r + -3) + 8 (3n + 3r) = 5(r + -3) + 8 Reorder the terms: 3n + 3r = 5(-3 + r) + 8 3n + 3r = (-3 * 5 + r * 5) + 8 3n + 3r = (-15 + 5r) + 8 Reorder the terms: 3n + 3r = -15 + 8 + 5r Combine like terms: -15 + 8 = -7 3n + 3r = -7 + 5r Solving 3n + 3r = -7 + 5r Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3r' to each side of the equation. 3n + 3r + -3r = -7 + 5r + -3r Combine like terms: 3r + -3r = 0 3n + 0 = -7 + 5r + -3r 3n = -7 + 5r + -3r Combine like terms: 5r + -3r = 2r 3n = -7 + 2r Divide each side by '3'. n = -2.333333333 + 0.6666666667r Simplifying n = -2.333333333 + 0.6666666667r
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