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Simplifying 4(k + -6) = 6(6 + 2) Reorder the terms: 4(-6 + k) = 6(6 + 2) (-6 * 4 + k * 4) = 6(6 + 2) (-24 + 4k) = 6(6 + 2) Combine like terms: 6 + 2 = 8 -24 + 4k = 6(8) Multiply 6 * 8 -24 + 4k = 48 Solving -24 + 4k = 48 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 + 4k = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 4k = 48 + 24 4k = 48 + 24 Combine like terms: 48 + 24 = 72 4k = 72 Divide each side by '4'. k = 18 Simplifying k = 18
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