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Simplifying 4(2.1k + 6) = 6(3.4k + -3) Reorder the terms: 4(6 + 2.1k) = 6(3.4k + -3) (6 * 4 + 2.1k * 4) = 6(3.4k + -3) (24 + 8.4k) = 6(3.4k + -3) Reorder the terms: 24 + 8.4k = 6(-3 + 3.4k) 24 + 8.4k = (-3 * 6 + 3.4k * 6) 24 + 8.4k = (-18 + 20.4k) Solving 24 + 8.4k = -18 + 20.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20.4k' to each side of the equation. 24 + 8.4k + -20.4k = -18 + 20.4k + -20.4k Combine like terms: 8.4k + -20.4k = -12k 24 + -12k = -18 + 20.4k + -20.4k Combine like terms: 20.4k + -20.4k = 0.0 24 + -12k = -18 + 0.0 24 + -12k = -18 Add '-24' to each side of the equation. 24 + -24 + -12k = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -12k = -18 + -24 -12k = -18 + -24 Combine like terms: -18 + -24 = -42 -12k = -42 Divide each side by '-12'. k = 3.5 Simplifying k = 3.5
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