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Simplifying 14 + -4(2k + 4) = 2(4 + -3k) Reorder the terms: 14 + -4(4 + 2k) = 2(4 + -3k) 14 + (4 * -4 + 2k * -4) = 2(4 + -3k) 14 + (-16 + -8k) = 2(4 + -3k) Combine like terms: 14 + -16 = -2 -2 + -8k = 2(4 + -3k) -2 + -8k = (4 * 2 + -3k * 2) -2 + -8k = (8 + -6k) Solving -2 + -8k = 8 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -2 + -8k + 6k = 8 + -6k + 6k Combine like terms: -8k + 6k = -2k -2 + -2k = 8 + -6k + 6k Combine like terms: -6k + 6k = 0 -2 + -2k = 8 + 0 -2 + -2k = 8 Add '2' to each side of the equation. -2 + 2 + -2k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 8 + 2 -2k = 8 + 2 Combine like terms: 8 + 2 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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