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Simplifying -2k + -3(4 + -2k) = 2(k + -3) + 2 -2k + (4 * -3 + -2k * -3) = 2(k + -3) + 2 -2k + (-12 + 6k) = 2(k + -3) + 2 Reorder the terms: -12 + -2k + 6k = 2(k + -3) + 2 Combine like terms: -2k + 6k = 4k -12 + 4k = 2(k + -3) + 2 Reorder the terms: -12 + 4k = 2(-3 + k) + 2 -12 + 4k = (-3 * 2 + k * 2) + 2 -12 + 4k = (-6 + 2k) + 2 Reorder the terms: -12 + 4k = -6 + 2 + 2k Combine like terms: -6 + 2 = -4 -12 + 4k = -4 + 2k Solving -12 + 4k = -4 + 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. -12 + 4k + -2k = -4 + 2k + -2k Combine like terms: 4k + -2k = 2k -12 + 2k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -12 + 2k = -4 + 0 -12 + 2k = -4 Add '12' to each side of the equation. -12 + 12 + 2k = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -4 + 12 2k = -4 + 12 Combine like terms: -4 + 12 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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