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Simplifying 3.4(k + -2) = 2k + 5.8 Reorder the terms: 3.4(-2 + k) = 2k + 5.8 (-2 * 3.4 + k * 3.4) = 2k + 5.8 (-6.8 + 3.4k) = 2k + 5.8 Reorder the terms: -6.8 + 3.4k = 5.8 + 2k Solving -6.8 + 3.4k = 5.8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -6.8 + 3.4k + -2k = 5.8 + 2k + -2k Combine like terms: 3.4k + -2k = 1.4k -6.8 + 1.4k = 5.8 + 2k + -2k Combine like terms: 2k + -2k = 0 -6.8 + 1.4k = 5.8 + 0 -6.8 + 1.4k = 5.8 Add '6.8' to each side of the equation. -6.8 + 6.8 + 1.4k = 5.8 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + 1.4k = 5.8 + 6.8 1.4k = 5.8 + 6.8 Combine like terms: 5.8 + 6.8 = 12.6 1.4k = 12.6 Divide each side by '1.4'. k = 9 Simplifying k = 9
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