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Simplifying 2(k + -1) = 4(k + -2) Reorder the terms: 2(-1 + k) = 4(k + -2) (-1 * 2 + k * 2) = 4(k + -2) (-2 + 2k) = 4(k + -2) Reorder the terms: -2 + 2k = 4(-2 + k) -2 + 2k = (-2 * 4 + k * 4) -2 + 2k = (-8 + 4k) Solving -2 + 2k = -8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -2 + 2k + -4k = -8 + 4k + -4k Combine like terms: 2k + -4k = -2k -2 + -2k = -8 + 4k + -4k Combine like terms: 4k + -4k = 0 -2 + -2k = -8 + 0 -2 + -2k = -8 Add '2' to each side of the equation. -2 + 2 + -2k = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = -8 + 2 -2k = -8 + 2 Combine like terms: -8 + 2 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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