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