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Simplifying 4(k + -6) + -6k = 12 Reorder the terms: 4(-6 + k) + -6k = 12 (-6 * 4 + k * 4) + -6k = 12 (-24 + 4k) + -6k = 12 Combine like terms: 4k + -6k = -2k -24 + -2k = 12 Solving -24 + -2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2k = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2k = 12 + 24 -2k = 12 + 24 Combine like terms: 12 + 24 = 36 -2k = 36 Divide each side by '-2'. k = -18 Simplifying k = -18
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