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Simplifying 8 + 2k = -8(k + -6) Reorder the terms: 8 + 2k = -8(-6 + k) 8 + 2k = (-6 * -8 + k * -8) 8 + 2k = (48 + -8k) Solving 8 + 2k = 48 + -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. 8 + 2k + 8k = 48 + -8k + 8k Combine like terms: 2k + 8k = 10k 8 + 10k = 48 + -8k + 8k Combine like terms: -8k + 8k = 0 8 + 10k = 48 + 0 8 + 10k = 48 Add '-8' to each side of the equation. 8 + -8 + 10k = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 10k = 48 + -8 10k = 48 + -8 Combine like terms: 48 + -8 = 40 10k = 40 Divide each side by '10'. k = 4 Simplifying k = 4
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