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Simplifying 2(2k + -1) = 4a + -1(2a + 4) Reorder the terms: 2(-1 + 2k) = 4a + -1(2a + 4) (-1 * 2 + 2k * 2) = 4a + -1(2a + 4) (-2 + 4k) = 4a + -1(2a + 4) Reorder the terms: -2 + 4k = 4a + -1(4 + 2a) -2 + 4k = 4a + (4 * -1 + 2a * -1) -2 + 4k = 4a + (-4 + -2a) Reorder the terms: -2 + 4k = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a -2 + 4k = -4 + 2a Solving -2 + 4k = -4 + 2a 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 = -4 + 2 + 2a Combine like terms: -2 + 2 = 0 0 + 4k = -4 + 2 + 2a 4k = -4 + 2 + 2a Combine like terms: -4 + 2 = -2 4k = -2 + 2a Divide each side by '4'. k = -0.5 + 0.5a Simplifying k = -0.5 + 0.5a
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