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Simplifying -3(2k + 7) + -4(k + -6) = 0 Reorder the terms: -3(7 + 2k) + -4(k + -6) = 0 (7 * -3 + 2k * -3) + -4(k + -6) = 0 (-21 + -6k) + -4(k + -6) = 0 Reorder the terms: -21 + -6k + -4(-6 + k) = 0 -21 + -6k + (-6 * -4 + k * -4) = 0 -21 + -6k + (24 + -4k) = 0 Reorder the terms: -21 + 24 + -6k + -4k = 0 Combine like terms: -21 + 24 = 3 3 + -6k + -4k = 0 Combine like terms: -6k + -4k = -10k 3 + -10k = 0 Solving 3 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10k = 0 + -3 -10k = 0 + -3 Combine like terms: 0 + -3 = -3 -10k = -3 Divide each side by '-10'. k = 0.3 Simplifying k = 0.3
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