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Simplifying 4(4k + 8) = 8(k + 7) Reorder the terms: 4(8 + 4k) = 8(k + 7) (8 * 4 + 4k * 4) = 8(k + 7) (32 + 16k) = 8(k + 7) Reorder the terms: 32 + 16k = 8(7 + k) 32 + 16k = (7 * 8 + k * 8) 32 + 16k = (56 + 8k) Solving 32 + 16k = 56 + 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. 32 + 16k + -8k = 56 + 8k + -8k Combine like terms: 16k + -8k = 8k 32 + 8k = 56 + 8k + -8k Combine like terms: 8k + -8k = 0 32 + 8k = 56 + 0 32 + 8k = 56 Add '-32' to each side of the equation. 32 + -32 + 8k = 56 + -32 Combine like terms: 32 + -32 = 0 0 + 8k = 56 + -32 8k = 56 + -32 Combine like terms: 56 + -32 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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