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Simplifying 6 + 5k + -10 = 5k + -7 + -8k Reorder the terms: 6 + -10 + 5k = 5k + -7 + -8k Combine like terms: 6 + -10 = -4 -4 + 5k = 5k + -7 + -8k Reorder the terms: -4 + 5k = -7 + 5k + -8k Combine like terms: 5k + -8k = -3k -4 + 5k = -7 + -3k Solving -4 + 5k = -7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -4 + 5k + 3k = -7 + -3k + 3k Combine like terms: 5k + 3k = 8k -4 + 8k = -7 + -3k + 3k Combine like terms: -3k + 3k = 0 -4 + 8k = -7 + 0 -4 + 8k = -7 Add '4' to each side of the equation. -4 + 4 + 8k = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 8k = -7 + 4 8k = -7 + 4 Combine like terms: -7 + 4 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375
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