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Simplifying 0.6k + -0.3 = 5k + 0.4 Reorder the terms: -0.3 + 0.6k = 5k + 0.4 Reorder the terms: -0.3 + 0.6k = 0.4 + 5k Solving -0.3 + 0.6k = 0.4 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -0.3 + 0.6k + -5k = 0.4 + 5k + -5k Combine like terms: 0.6k + -5k = -4.4k -0.3 + -4.4k = 0.4 + 5k + -5k Combine like terms: 5k + -5k = 0 -0.3 + -4.4k = 0.4 + 0 -0.3 + -4.4k = 0.4 Add '0.3' to each side of the equation. -0.3 + 0.3 + -4.4k = 0.4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -4.4k = 0.4 + 0.3 -4.4k = 0.4 + 0.3 Combine like terms: 0.4 + 0.3 = 0.7 -4.4k = 0.7 Divide each side by '-4.4'. k = -0.1590909091 Simplifying k = -0.1590909091
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