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Simplifying 2k + 8(k + 4) = -5k + 17 Reorder the terms: 2k + 8(4 + k) = -5k + 17 2k + (4 * 8 + k * 8) = -5k + 17 2k + (32 + 8k) = -5k + 17 Reorder the terms: 32 + 2k + 8k = -5k + 17 Combine like terms: 2k + 8k = 10k 32 + 10k = -5k + 17 Reorder the terms: 32 + 10k = 17 + -5k Solving 32 + 10k = 17 + -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. 32 + 10k + 5k = 17 + -5k + 5k Combine like terms: 10k + 5k = 15k 32 + 15k = 17 + -5k + 5k Combine like terms: -5k + 5k = 0 32 + 15k = 17 + 0 32 + 15k = 17 Add '-32' to each side of the equation. 32 + -32 + 15k = 17 + -32 Combine like terms: 32 + -32 = 0 0 + 15k = 17 + -32 15k = 17 + -32 Combine like terms: 17 + -32 = -15 15k = -15 Divide each side by '15'. k = -1 Simplifying k = -1
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