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Simplifying 0.8k + 7 = 0.7 + 1 Reorder the terms: 7 + 0.8k = 0.7 + 1 Combine like terms: 0.7 + 1 = 1.7 7 + 0.8k = 1.7 Solving 7 + 0.8k = 1.7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.8k = 1.7 + -7 Combine like terms: 7 + -7 = 0 0 + 0.8k = 1.7 + -7 0.8k = 1.7 + -7 Combine like terms: 1.7 + -7 = -5.3 0.8k = -5.3 Divide each side by '0.8'. k = -6.625 Simplifying k = -6.625
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