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Simplifying 14 + -1(2k + 4) = -2(4 + -3k) Reorder the terms: 14 + -1(4 + 2k) = -2(4 + -3k) 14 + (4 * -1 + 2k * -1) = -2(4 + -3k) 14 + (-4 + -2k) = -2(4 + -3k) Combine like terms: 14 + -4 = 10 10 + -2k = -2(4 + -3k) 10 + -2k = (4 * -2 + -3k * -2) 10 + -2k = (-8 + 6k) Solving 10 + -2k = -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. 10 + -2k + -6k = -8 + 6k + -6k Combine like terms: -2k + -6k = -8k 10 + -8k = -8 + 6k + -6k Combine like terms: 6k + -6k = 0 10 + -8k = -8 + 0 10 + -8k = -8 Add '-10' to each side of the equation. 10 + -10 + -8k = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -8k = -8 + -10 -8k = -8 + -10 Combine like terms: -8 + -10 = -18 -8k = -18 Divide each side by '-8'. k = 2.25 Simplifying k = 2.25
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