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Simplifying -6k + -20 = -2k + 4(1 + -3k) Reorder the terms: -20 + -6k = -2k + 4(1 + -3k) -20 + -6k = -2k + (1 * 4 + -3k * 4) -20 + -6k = -2k + (4 + -12k) Reorder the terms: -20 + -6k = 4 + -2k + -12k Combine like terms: -2k + -12k = -14k -20 + -6k = 4 + -14k Solving -20 + -6k = 4 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -20 + -6k + 14k = 4 + -14k + 14k Combine like terms: -6k + 14k = 8k -20 + 8k = 4 + -14k + 14k Combine like terms: -14k + 14k = 0 -20 + 8k = 4 + 0 -20 + 8k = 4 Add '20' to each side of the equation. -20 + 20 + 8k = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8k = 4 + 20 8k = 4 + 20 Combine like terms: 4 + 20 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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