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Simplifying 3(4 + 3k + 10r) = 0 (4 * 3 + 3k * 3 + 10r * 3) = 0 (12 + 9k + 30r) = 0 Solving 12 + 9k + 30r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 9k + -12 + 30r = 0 + -12 Reorder the terms: 12 + -12 + 9k + 30r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9k + 30r = 0 + -12 9k + 30r = 0 + -12 Combine like terms: 0 + -12 = -12 9k + 30r = -12 Add '-30r' to each side of the equation. 9k + 30r + -30r = -12 + -30r Combine like terms: 30r + -30r = 0 9k + 0 = -12 + -30r 9k = -12 + -30r Divide each side by '9'. k = -1.333333333 + -3.333333333r Simplifying k = -1.333333333 + -3.333333333r
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