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Simplifying -20 + k = 4(-3k + 4) + k Reorder the terms: -20 + k = 4(4 + -3k) + k -20 + k = (4 * 4 + -3k * 4) + k -20 + k = (16 + -12k) + k Combine like terms: -12k + k = -11k -20 + k = 16 + -11k Solving -20 + k = 16 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -20 + k + 11k = 16 + -11k + 11k Combine like terms: k + 11k = 12k -20 + 12k = 16 + -11k + 11k Combine like terms: -11k + 11k = 0 -20 + 12k = 16 + 0 -20 + 12k = 16 Add '20' to each side of the equation. -20 + 20 + 12k = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12k = 16 + 20 12k = 16 + 20 Combine like terms: 16 + 20 = 36 12k = 36 Divide each side by '12'. k = 3 Simplifying k = 3
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