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Simplifying 4(2.1k + 6) = 6(3.4k + -2) Reorder the terms: 4(6 + 2.1k) = 6(3.4k + -2) (6 * 4 + 2.1k * 4) = 6(3.4k + -2) (24 + 8.4k) = 6(3.4k + -2) Reorder the terms: 24 + 8.4k = 6(-2 + 3.4k) 24 + 8.4k = (-2 * 6 + 3.4k * 6) 24 + 8.4k = (-12 + 20.4k) Solving 24 + 8.4k = -12 + 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 = -12 + 20.4k + -20.4k Combine like terms: 8.4k + -20.4k = -12k 24 + -12k = -12 + 20.4k + -20.4k Combine like terms: 20.4k + -20.4k = 0.0 24 + -12k = -12 + 0.0 24 + -12k = -12 Add '-24' to each side of the equation. 24 + -24 + -12k = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -12k = -12 + -24 -12k = -12 + -24 Combine like terms: -12 + -24 = -36 -12k = -36 Divide each side by '-12'. k = 3 Simplifying k = 3
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