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Simplifying 3.5(k + -6) = 6.3 Reorder the terms: 3.5(-6 + k) = 6.3 (-6 * 3.5 + k * 3.5) = 6.3 (-21 + 3.5k) = 6.3 Solving -21 + 3.5k = 6.3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3.5k = 6.3 + 21 Combine like terms: -21 + 21 = 0 0 + 3.5k = 6.3 + 21 3.5k = 6.3 + 21 Combine like terms: 6.3 + 21 = 27.3 3.5k = 27.3 Divide each side by '3.5'. k = 7.8 Simplifying k = 7.8
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