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Simplifying 2(2k + -1) = 4(5 + -2) Reorder the terms: 2(-1 + 2k) = 4(5 + -2) (-1 * 2 + 2k * 2) = 4(5 + -2) (-2 + 4k) = 4(5 + -2) Combine like terms: 5 + -2 = 3 -2 + 4k = 4(3) Multiply 4 * 3 -2 + 4k = 12 Solving -2 + 4k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4k = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 12 + 2 4k = 12 + 2 Combine like terms: 12 + 2 = 14 4k = 14 Divide each side by '4'. k = 3.5 Simplifying k = 3.5
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