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Simplifying 2 = 2 + -4(k + -4) Reorder the terms: 2 = 2 + -4(-4 + k) 2 = 2 + (-4 * -4 + k * -4) 2 = 2 + (16 + -4k) Combine like terms: 2 + 16 = 18 2 = 18 + -4k Solving 2 = 18 + -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. 2 + 4k = 18 + -4k + 4k Combine like terms: -4k + 4k = 0 2 + 4k = 18 + 0 2 + 4k = 18 Add '-2' to each side of the equation. 2 + -2 + 4k = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 4k = 18 + -2 4k = 18 + -2 Combine like terms: 18 + -2 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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