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Simplifying 0.4 + -2k = 1.5 + -10k Solving 0.4 + -2k = 1.5 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 0.4 + -2k + 10k = 1.5 + -10k + 10k Combine like terms: -2k + 10k = 8k 0.4 + 8k = 1.5 + -10k + 10k Combine like terms: -10k + 10k = 0 0.4 + 8k = 1.5 + 0 0.4 + 8k = 1.5 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 8k = 1.5 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 8k = 1.5 + -0.4 8k = 1.5 + -0.4 Combine like terms: 1.5 + -0.4 = 1.1 8k = 1.1 Divide each side by '8'. k = 0.1375 Simplifying k = 0.1375
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