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Simplifying -10 + 0.20k = k + 2 Reorder the terms: -10 + 0.20k = 2 + k Solving -10 + 0.20k = 2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10 + 0.20k + -1k = 2 + k + -1k Combine like terms: 0.20k + -1k = -0.8k -10 + -0.8k = 2 + k + -1k Combine like terms: k + -1k = 0 -10 + -0.8k = 2 + 0 -10 + -0.8k = 2 Add '10' to each side of the equation. -10 + 10 + -0.8k = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -0.8k = 2 + 10 -0.8k = 2 + 10 Combine like terms: 2 + 10 = 12 -0.8k = 12 Divide each side by '-0.8'. k = -15 Simplifying k = -15
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