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Simplifying 9(2k + -4) + -2(7k + -12) = 0 Reorder the terms: 9(-4 + 2k) + -2(7k + -12) = 0 (-4 * 9 + 2k * 9) + -2(7k + -12) = 0 (-36 + 18k) + -2(7k + -12) = 0 Reorder the terms: -36 + 18k + -2(-12 + 7k) = 0 -36 + 18k + (-12 * -2 + 7k * -2) = 0 -36 + 18k + (24 + -14k) = 0 Reorder the terms: -36 + 24 + 18k + -14k = 0 Combine like terms: -36 + 24 = -12 -12 + 18k + -14k = 0 Combine like terms: 18k + -14k = 4k -12 + 4k = 0 Solving -12 + 4k = 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 + 4k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4k = 0 + 12 4k = 0 + 12 Combine like terms: 0 + 12 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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