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Simplifying 4(k + -1) = 2(k + 1) Reorder the terms: 4(-1 + k) = 2(k + 1) (-1 * 4 + k * 4) = 2(k + 1) (-4 + 4k) = 2(k + 1) Reorder the terms: -4 + 4k = 2(1 + k) -4 + 4k = (1 * 2 + k * 2) -4 + 4k = (2 + 2k) Solving -4 + 4k = 2 + 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. -4 + 4k + -2k = 2 + 2k + -2k Combine like terms: 4k + -2k = 2k -4 + 2k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + 2k = 2 + 0 -4 + 2k = 2 Add '4' to each side of the equation. -4 + 4 + 2k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = 2 + 4 2k = 2 + 4 Combine like terms: 2 + 4 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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