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Simplifying -4(8k + -8) + -2 = -18 + -8k Reorder the terms: -4(-8 + 8k) + -2 = -18 + -8k (-8 * -4 + 8k * -4) + -2 = -18 + -8k (32 + -32k) + -2 = -18 + -8k Reorder the terms: 32 + -2 + -32k = -18 + -8k Combine like terms: 32 + -2 = 30 30 + -32k = -18 + -8k Solving 30 + -32k = -18 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 30 + -32k + 8k = -18 + -8k + 8k Combine like terms: -32k + 8k = -24k 30 + -24k = -18 + -8k + 8k Combine like terms: -8k + 8k = 0 30 + -24k = -18 + 0 30 + -24k = -18 Add '-30' to each side of the equation. 30 + -30 + -24k = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -24k = -18 + -30 -24k = -18 + -30 Combine like terms: -18 + -30 = -48 -24k = -48 Divide each side by '-24'. k = 2 Simplifying k = 2
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