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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 = 4 20 + 3k = 4 + -5k Solving 20 + 3k = 4 + -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 = 4 + -5k + 5k Combine like terms: 3k + 5k = 8k 20 + 8k = 4 + -5k + 5k Combine like terms: -5k + 5k = 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 = -16 8k = -16 Divide each side by '8'. k = -2 Simplifying k = -2
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