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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 = -14k -2 + -14k = -8 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + -14k = -8 + 0 -2 + -14k = -8 Add '2' to each side of the equation. -2 + 2 + -14k = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -14k = -8 + 2 -14k = -8 + 2 Combine like terms: -8 + 2 = -6 -14k = -6 Divide each side by '-14'. k = 0.4285714286 Simplifying k = 0.4285714286
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