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