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Simplifying -4(k + 3) = 6 + -2k Reorder the terms: -4(3 + k) = 6 + -2k (3 * -4 + k * -4) = 6 + -2k (-12 + -4k) = 6 + -2k Solving -12 + -4k = 6 + -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 = 6 + -2k + 2k Combine like terms: -4k + 2k = -2k -12 + -2k = 6 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + -2k = 6 + 0 -12 + -2k = 6 Add '12' to each side of the equation. -12 + 12 + -2k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2k = 6 + 12 -2k = 6 + 12 Combine like terms: 6 + 12 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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