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Simplifying 8k + -4.7 = 3k + 0.4 Reorder the terms: -4.7 + 8k = 3k + 0.4 Reorder the terms: -4.7 + 8k = 0.4 + 3k Solving -4.7 + 8k = 0.4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -4.7 + 8k + -3k = 0.4 + 3k + -3k Combine like terms: 8k + -3k = 5k -4.7 + 5k = 0.4 + 3k + -3k Combine like terms: 3k + -3k = 0 -4.7 + 5k = 0.4 + 0 -4.7 + 5k = 0.4 Add '4.7' to each side of the equation. -4.7 + 4.7 + 5k = 0.4 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 5k = 0.4 + 4.7 5k = 0.4 + 4.7 Combine like terms: 0.4 + 4.7 = 5.1 5k = 5.1 Divide each side by '5'. k = 1.02 Simplifying k = 1.02
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