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Simplifying 0.80k + -5 = -7 + 0.40k Reorder the terms: -5 + 0.80k = -7 + 0.40k Solving -5 + 0.80k = -7 + 0.40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.40k' to each side of the equation. -5 + 0.80k + -0.40k = -7 + 0.40k + -0.40k Combine like terms: 0.80k + -0.40k = 0.4k -5 + 0.4k = -7 + 0.40k + -0.40k Combine like terms: 0.40k + -0.40k = 0.00 -5 + 0.4k = -7 + 0.00 -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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