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Simplifying 0.8k + -6 = 7 + -0.5k Reorder the terms: -6 + 0.8k = 7 + -0.5k Solving -6 + 0.8k = 7 + -0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5k' to each side of the equation. -6 + 0.8k + 0.5k = 7 + -0.5k + 0.5k Combine like terms: 0.8k + 0.5k = 1.3k -6 + 1.3k = 7 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 -6 + 1.3k = 7 + 0.0 -6 + 1.3k = 7 Add '6' to each side of the equation. -6 + 6 + 1.3k = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 1.3k = 7 + 6 1.3k = 7 + 6 Combine like terms: 7 + 6 = 13 1.3k = 13 Divide each side by '1.3'. k = 10 Simplifying k = 10
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