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Simplifying 6(2n) + 3(r + 2) = 0 Remove parenthesis around (2n) 6 * 2n + 3(r + 2) = 0 Multiply 6 * 2 12n + 3(r + 2) = 0 Reorder the terms: 12n + 3(2 + r) = 0 12n + (2 * 3 + r * 3) = 0 12n + (6 + 3r) = 0 Reorder the terms: 6 + 12n + 3r = 0 Solving 6 + 12n + 3r = 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 + 12n + -6 + 3r = 0 + -6 Reorder the terms: 6 + -6 + 12n + 3r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12n + 3r = 0 + -6 12n + 3r = 0 + -6 Combine like terms: 0 + -6 = -6 12n + 3r = -6 Add '-3r' to each side of the equation. 12n + 3r + -3r = -6 + -3r Combine like terms: 3r + -3r = 0 12n + 0 = -6 + -3r 12n = -6 + -3r Divide each side by '12'. n = -0.5 + -0.25r Simplifying n = -0.5 + -0.25r
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