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Simplifying -7 + -10k = 7 + -8k Solving -7 + -10k = 7 + -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 + -10k + 8k = 7 + -8k + 8k Combine like terms: -10k + 8k = -2k -7 + -2k = 7 + -8k + 8k Combine like terms: -8k + 8k = 0 -7 + -2k = 7 + 0 -7 + -2k = 7 Add '7' to each side of the equation. -7 + 7 + -2k = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -2k = 7 + 7 -2k = 7 + 7 Combine like terms: 7 + 7 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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