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Simplifying 2 + -4(k + 2) + 16 = 0 Reorder the terms: 2 + -4(2 + k) + 16 = 0 2 + (2 * -4 + k * -4) + 16 = 0 2 + (-8 + -4k) + 16 = 0 Reorder the terms: 2 + -8 + 16 + -4k = 0 Combine like terms: 2 + -8 = -6 -6 + 16 + -4k = 0 Combine like terms: -6 + 16 = 10 10 + -4k = 0 Solving 10 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = 0 + -10 -4k = 0 + -10 Combine like terms: 0 + -10 = -10 -4k = -10 Divide each side by '-4'. k = 2.5 Simplifying k = 2.5
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