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Simplifying 6(2.9k + -0.9) = 8.4k Reorder the terms: 6(-0.9 + 2.9k) = 8.4k (-0.9 * 6 + 2.9k * 6) = 8.4k (-5.4 + 17.4k) = 8.4k Solving -5.4 + 17.4k = 8.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.4k' to each side of the equation. -5.4 + 17.4k + -8.4k = 8.4k + -8.4k Combine like terms: 17.4k + -8.4k = 9k -5.4 + 9k = 8.4k + -8.4k Combine like terms: 8.4k + -8.4k = 0.0 -5.4 + 9k = 0.0 Add '5.4' to each side of the equation. -5.4 + 5.4 + 9k = 0.0 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 9k = 0.0 + 5.4 9k = 0.0 + 5.4 Combine like terms: 0.0 + 5.4 = 5.4 9k = 5.4 Divide each side by '9'. k = 0.6 Simplifying k = 0.6
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