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Simplifying 8(2k + 4) + -4k = 2 + -3k Reorder the terms: 8(4 + 2k) + -4k = 2 + -3k (4 * 8 + 2k * 8) + -4k = 2 + -3k (32 + 16k) + -4k = 2 + -3k Combine like terms: 16k + -4k = 12k 32 + 12k = 2 + -3k Solving 32 + 12k = 2 + -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. 32 + 12k + 3k = 2 + -3k + 3k Combine like terms: 12k + 3k = 15k 32 + 15k = 2 + -3k + 3k Combine like terms: -3k + 3k = 0 32 + 15k = 2 + 0 32 + 15k = 2 Add '-32' to each side of the equation. 32 + -32 + 15k = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 15k = 2 + -32 15k = 2 + -32 Combine like terms: 2 + -32 = -30 15k = -30 Divide each side by '15'. k = -2 Simplifying k = -2
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