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Simplifying 0.8k + -5 = -7 + 0.4 Reorder the terms: -5 + 0.8k = -7 + 0.4 Combine like terms: -7 + 0.4 = -6.6 -5 + 0.8k = -6.6 Solving -5 + 0.8k = -6.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 0.8k = -6.6 + 5 Combine like terms: -5 + 5 = 0 0 + 0.8k = -6.6 + 5 0.8k = -6.6 + 5 Combine like terms: -6.6 + 5 = -1.6 0.8k = -1.6 Divide each side by '0.8'. k = -2 Simplifying k = -2
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