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Simplifying -4(2k + -8) = 18 + -6k Reorder the terms: -4(-8 + 2k) = 18 + -6k (-8 * -4 + 2k * -4) = 18 + -6k (32 + -8k) = 18 + -6k Solving 32 + -8k = 18 + -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. 32 + -8k + 6k = 18 + -6k + 6k Combine like terms: -8k + 6k = -2k 32 + -2k = 18 + -6k + 6k Combine like terms: -6k + 6k = 0 32 + -2k = 18 + 0 32 + -2k = 18 Add '-32' to each side of the equation. 32 + -32 + -2k = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -2k = 18 + -32 -2k = 18 + -32 Combine like terms: 18 + -32 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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