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Simplifying 0.3k + -0.02 + 0.3k = 0.5 + k Reorder the terms: -0.02 + 0.3k + 0.3k = 0.5 + k Combine like terms: 0.3k + 0.3k = 0.6k -0.02 + 0.6k = 0.5 + k Solving -0.02 + 0.6k = 0.5 + 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. -0.02 + 0.6k + -1k = 0.5 + k + -1k Combine like terms: 0.6k + -1k = -0.4k -0.02 + -0.4k = 0.5 + k + -1k Combine like terms: k + -1k = 0 -0.02 + -0.4k = 0.5 + 0 -0.02 + -0.4k = 0.5 Add '0.02' to each side of the equation. -0.02 + 0.02 + -0.4k = 0.5 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.4k = 0.5 + 0.02 -0.4k = 0.5 + 0.02 Combine like terms: 0.5 + 0.02 = 0.52 -0.4k = 0.52 Divide each side by '-0.4'. k = -1.3 Simplifying k = -1.3
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