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Simplifying 2(k + 7) + -7 = -8k + -8 Reorder the terms: 2(7 + k) + -7 = -8k + -8 (7 * 2 + k * 2) + -7 = -8k + -8 (14 + 2k) + -7 = -8k + -8 Reorder the terms: 14 + -7 + 2k = -8k + -8 Combine like terms: 14 + -7 = 7 7 + 2k = -8k + -8 Reorder the terms: 7 + 2k = -8 + -8k Solving 7 + 2k = -8 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 7 + 2k + 8k = -8 + -8k + 8k Combine like terms: 2k + 8k = 10k 7 + 10k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 7 + 10k = -8 + 0 7 + 10k = -8 Add '-7' to each side of the equation. 7 + -7 + 10k = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 10k = -8 + -7 10k = -8 + -7 Combine like terms: -8 + -7 = -15 10k = -15 Divide each side by '10'. k = -1.5 Simplifying k = -1.5
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