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Simplifying 3.4(2k + -7) = 1.8(5 + -2k) Reorder the terms: 3.4(-7 + 2k) = 1.8(5 + -2k) (-7 * 3.4 + 2k * 3.4) = 1.8(5 + -2k) (-23.8 + 6.8k) = 1.8(5 + -2k) -23.8 + 6.8k = (5 * 1.8 + -2k * 1.8) -23.8 + 6.8k = (9 + -3.6k) Solving -23.8 + 6.8k = 9 + -3.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.6k' to each side of the equation. -23.8 + 6.8k + 3.6k = 9 + -3.6k + 3.6k Combine like terms: 6.8k + 3.6k = 10.4k -23.8 + 10.4k = 9 + -3.6k + 3.6k Combine like terms: -3.6k + 3.6k = 0.0 -23.8 + 10.4k = 9 + 0.0 -23.8 + 10.4k = 9 Add '23.8' to each side of the equation. -23.8 + 23.8 + 10.4k = 9 + 23.8 Combine like terms: -23.8 + 23.8 = 0.0 0.0 + 10.4k = 9 + 23.8 10.4k = 9 + 23.8 Combine like terms: 9 + 23.8 = 32.8 10.4k = 32.8 Divide each side by '10.4'. k = 3.153846154 Simplifying k = 3.153846154
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