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Simplifying 4(k + -2) = -24 + -4k Reorder the terms: 4(-2 + k) = -24 + -4k (-2 * 4 + k * 4) = -24 + -4k (-8 + 4k) = -24 + -4k Solving -8 + 4k = -24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -8 + 4k + 4k = -24 + -4k + 4k Combine like terms: 4k + 4k = 8k -8 + 8k = -24 + -4k + 4k Combine like terms: -4k + 4k = 0 -8 + 8k = -24 + 0 -8 + 8k = -24 Add '8' to each side of the equation. -8 + 8 + 8k = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 8k = -24 + 8 8k = -24 + 8 Combine like terms: -24 + 8 = -16 8k = -16 Divide each side by '8'. k = -2 Simplifying k = -2
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