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Simplifying 5k + 20 + -2k = 10 + -1[5k + -6] Reorder the terms: 20 + 5k + -2k = 10 + -1[5k + -6] Combine like terms: 5k + -2k = 3k 20 + 3k = 10 + -1[5k + -6] Reorder the terms: 20 + 3k = 10 + -1[-6 + 5k] 20 + 3k = 10 + [-6 * -1 + 5k * -1] 20 + 3k = 10 + [6 + -5k] Combine like terms: 10 + 6 = 16 20 + 3k = 16 + -5k Solving 20 + 3k = 16 + -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. 20 + 3k + 5k = 16 + -5k + 5k Combine like terms: 3k + 5k = 8k 20 + 8k = 16 + -5k + 5k Combine like terms: -5k + 5k = 0 20 + 8k = 16 + 0 20 + 8k = 16 Add '-20' to each side of the equation. 20 + -20 + 8k = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 8k = 16 + -20 8k = 16 + -20 Combine like terms: 16 + -20 = -4 8k = -4 Divide each side by '8'. k = -0.5 Simplifying k = -0.5
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