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Simplifying 12 + 2k = 4(k + -4) Reorder the terms: 12 + 2k = 4(-4 + k) 12 + 2k = (-4 * 4 + k * 4) 12 + 2k = (-16 + 4k) Solving 12 + 2k = -16 + 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. 12 + 2k + -4k = -16 + 4k + -4k Combine like terms: 2k + -4k = -2k 12 + -2k = -16 + 4k + -4k Combine like terms: 4k + -4k = 0 12 + -2k = -16 + 0 12 + -2k = -16 Add '-12' to each side of the equation. 12 + -12 + -2k = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = -16 + -12 -2k = -16 + -12 Combine like terms: -16 + -12 = -28 -2k = -28 Divide each side by '-2'. k = 14 Simplifying k = 14
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