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Simplifying 4(2k + -6) = 6(2k + 2) Reorder the terms: 4(-6 + 2k) = 6(2k + 2) (-6 * 4 + 2k * 4) = 6(2k + 2) (-24 + 8k) = 6(2k + 2) Reorder the terms: -24 + 8k = 6(2 + 2k) -24 + 8k = (2 * 6 + 2k * 6) -24 + 8k = (12 + 12k) Solving -24 + 8k = 12 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -24 + 8k + -12k = 12 + 12k + -12k Combine like terms: 8k + -12k = -4k -24 + -4k = 12 + 12k + -12k Combine like terms: 12k + -12k = 0 -24 + -4k = 12 + 0 -24 + -4k = 12 Add '24' to each side of the equation. -24 + 24 + -4k = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -4k = 12 + 24 -4k = 12 + 24 Combine like terms: 12 + 24 = 36 -4k = 36 Divide each side by '-4'. k = -9 Simplifying k = -9
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