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Simplifying (3 + -12k)(-7) + -6k + 9 = 0 Reorder the terms for easier multiplication: -7(3 + -12k) + -6k + 9 = 0 (3 * -7 + -12k * -7) + -6k + 9 = 0 (-21 + 84k) + -6k + 9 = 0 Reorder the terms: -21 + 9 + 84k + -6k = 0 Combine like terms: -21 + 9 = -12 -12 + 84k + -6k = 0 Combine like terms: 84k + -6k = 78k -12 + 78k = 0 Solving -12 + 78k = 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 + 12 + 78k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 78k = 0 + 12 78k = 0 + 12 Combine like terms: 0 + 12 = 12 78k = 12 Divide each side by '78'. k = 0.1538461538 Simplifying k = 0.1538461538
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