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Simplifying 5k + -4(3 + -1k) = 20 + k 5k + (3 * -4 + -1k * -4) = 20 + k 5k + (-12 + 4k) = 20 + k Reorder the terms: -12 + 5k + 4k = 20 + k Combine like terms: 5k + 4k = 9k -12 + 9k = 20 + k Solving -12 + 9k = 20 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 9k + -1k = 20 + k + -1k Combine like terms: 9k + -1k = 8k -12 + 8k = 20 + k + -1k Combine like terms: k + -1k = 0 -12 + 8k = 20 + 0 -12 + 8k = 20 Add '12' to each side of the equation. -12 + 12 + 8k = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 8k = 20 + 12 8k = 20 + 12 Combine like terms: 20 + 12 = 32 8k = 32 Divide each side by '8'. k = 4 Simplifying k = 4
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