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Simplifying -3(4 + -4k) = -5k + 22 (4 * -3 + -4k * -3) = -5k + 22 (-12 + 12k) = -5k + 22 Reorder the terms: -12 + 12k = 22 + -5k Solving -12 + 12k = 22 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -12 + 12k + 5k = 22 + -5k + 5k Combine like terms: 12k + 5k = 17k -12 + 17k = 22 + -5k + 5k Combine like terms: -5k + 5k = 0 -12 + 17k = 22 + 0 -12 + 17k = 22 Add '12' to each side of the equation. -12 + 12 + 17k = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 17k = 22 + 12 17k = 22 + 12 Combine like terms: 22 + 12 = 34 17k = 34 Divide each side by '17'. k = 2 Simplifying k = 2
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