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Simplifying 4(k + -6) = 6(k + 12) Reorder the terms: 4(-6 + k) = 6(k + 12) (-6 * 4 + k * 4) = 6(k + 12) (-24 + 4k) = 6(k + 12) Reorder the terms: -24 + 4k = 6(12 + k) -24 + 4k = (12 * 6 + k * 6) -24 + 4k = (72 + 6k) Solving -24 + 4k = 72 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -24 + 4k + -6k = 72 + 6k + -6k Combine like terms: 4k + -6k = -2k -24 + -2k = 72 + 6k + -6k Combine like terms: 6k + -6k = 0 -24 + -2k = 72 + 0 -24 + -2k = 72 Add '24' to each side of the equation. -24 + 24 + -2k = 72 + 24 Combine like terms: -24 + 24 = 0 0 + -2k = 72 + 24 -2k = 72 + 24 Combine like terms: 72 + 24 = 96 -2k = 96 Divide each side by '-2'. k = -48 Simplifying k = -48
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