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Simplifying -3(2 + 4k) + 7(2k + -1) = 0 (2 * -3 + 4k * -3) + 7(2k + -1) = 0 (-6 + -12k) + 7(2k + -1) = 0 Reorder the terms: -6 + -12k + 7(-1 + 2k) = 0 -6 + -12k + (-1 * 7 + 2k * 7) = 0 -6 + -12k + (-7 + 14k) = 0 Reorder the terms: -6 + -7 + -12k + 14k = 0 Combine like terms: -6 + -7 = -13 -13 + -12k + 14k = 0 Combine like terms: -12k + 14k = 2k -13 + 2k = 0 Solving -13 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 0 + 13 2k = 0 + 13 Combine like terms: 0 + 13 = 13 2k = 13 Divide each side by '2'. k = 6.5 Simplifying k = 6.5
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