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Simplifying 2(k + -24) = 8k Reorder the terms: 2(-24 + k) = 8k (-24 * 2 + k * 2) = 8k (-48 + 2k) = 8k Solving -48 + 2k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -48 + 2k + -8k = 8k + -8k Combine like terms: 2k + -8k = -6k -48 + -6k = 8k + -8k Combine like terms: 8k + -8k = 0 -48 + -6k = 0 Add '48' to each side of the equation. -48 + 48 + -6k = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -6k = 0 + 48 -6k = 0 + 48 Combine like terms: 0 + 48 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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