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Simplifying 3(9k + -4q + 5) = 0 Reorder the terms: 3(5 + 9k + -4q) = 0 (5 * 3 + 9k * 3 + -4q * 3) = 0 (15 + 27k + -12q) = 0 Solving 15 + 27k + -12q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 27k + -15 + -12q = 0 + -15 Reorder the terms: 15 + -15 + 27k + -12q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 27k + -12q = 0 + -15 27k + -12q = 0 + -15 Combine like terms: 0 + -15 = -15 27k + -12q = -15 Add '12q' to each side of the equation. 27k + -12q + 12q = -15 + 12q Combine like terms: -12q + 12q = 0 27k + 0 = -15 + 12q 27k = -15 + 12q Divide each side by '27'. k = -0.5555555556 + 0.4444444444q Simplifying k = -0.5555555556 + 0.4444444444q
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