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Simplifying 4(8k + 2) + 8 = -19 + -3k Reorder the terms: 4(2 + 8k) + 8 = -19 + -3k (2 * 4 + 8k * 4) + 8 = -19 + -3k (8 + 32k) + 8 = -19 + -3k Reorder the terms: 8 + 8 + 32k = -19 + -3k Combine like terms: 8 + 8 = 16 16 + 32k = -19 + -3k Solving 16 + 32k = -19 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 16 + 32k + 3k = -19 + -3k + 3k Combine like terms: 32k + 3k = 35k 16 + 35k = -19 + -3k + 3k Combine like terms: -3k + 3k = 0 16 + 35k = -19 + 0 16 + 35k = -19 Add '-16' to each side of the equation. 16 + -16 + 35k = -19 + -16 Combine like terms: 16 + -16 = 0 0 + 35k = -19 + -16 35k = -19 + -16 Combine like terms: -19 + -16 = -35 35k = -35 Divide each side by '35'. k = -1 Simplifying k = -1
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