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Simplifying -2 + -3(4 + -2k) = 2(k + -3) + 2 -2 + (4 * -3 + -2k * -3) = 2(k + -3) + 2 -2 + (-12 + 6k) = 2(k + -3) + 2 Combine like terms: -2 + -12 = -14 -14 + 6k = 2(k + -3) + 2 Reorder the terms: -14 + 6k = 2(-3 + k) + 2 -14 + 6k = (-3 * 2 + k * 2) + 2 -14 + 6k = (-6 + 2k) + 2 Reorder the terms: -14 + 6k = -6 + 2 + 2k Combine like terms: -6 + 2 = -4 -14 + 6k = -4 + 2k Solving -14 + 6k = -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. -14 + 6k + -2k = -4 + 2k + -2k Combine like terms: 6k + -2k = 4k -14 + 4k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -14 + 4k = -4 + 0 -14 + 4k = -4 Add '14' to each side of the equation. -14 + 14 + 4k = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 4k = -4 + 14 4k = -4 + 14 Combine like terms: -4 + 14 = 10 4k = 10 Divide each side by '4'. k = 2.5 Simplifying k = 2.5
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