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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 = 0.3 7 + 0.8k = 0.3 Solving 7 + 0.8k = 0.3 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 = 0.3 + -7 Combine like terms: 7 + -7 = 0 0 + 0.8k = 0.3 + -7 0.8k = 0.3 + -7 Combine like terms: 0.3 + -7 = -6.7 0.8k = -6.7 Divide each side by '0.8'. k = -8.375 Simplifying k = -8.375
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