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Simplifying 0.8k + -5 = -7 + 0.4k Reorder the terms: -5 + 0.8k = -7 + 0.4k Solving -5 + 0.8k = -7 + 0.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4k' to each side of the equation. -5 + 0.8k + -0.4k = -7 + 0.4k + -0.4k Combine like terms: 0.8k + -0.4k = 0.4k -5 + 0.4k = -7 + 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 -5 + 0.4k = -7 + 0.0 -5 + 0.4k = -7 Add '5' to each side of the equation. -5 + 5 + 0.4k = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 0.4k = -7 + 5 0.4k = -7 + 5 Combine like terms: -7 + 5 = -2 0.4k = -2 Divide each side by '0.4'. k = -5 Simplifying k = -5
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