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Simplifying 4(k + -6) = 2(k + 2) Reorder the terms: 4(-6 + k) = 2(k + 2) (-6 * 4 + k * 4) = 2(k + 2) (-24 + 4k) = 2(k + 2) Reorder the terms: -24 + 4k = 2(2 + k) -24 + 4k = (2 * 2 + k * 2) -24 + 4k = (4 + 2k) Solving -24 + 4k = 4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -24 + 4k + -2k = 4 + 2k + -2k Combine like terms: 4k + -2k = 2k -24 + 2k = 4 + 2k + -2k Combine like terms: 2k + -2k = 0 -24 + 2k = 4 + 0 -24 + 2k = 4 Add '24' to each side of the equation. -24 + 24 + 2k = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 2k = 4 + 24 2k = 4 + 24 Combine like terms: 4 + 24 = 28 2k = 28 Divide each side by '2'. k = 14 Simplifying k = 14
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