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Simplifying 8(k + 8) = 3k + 29 Reorder the terms: 8(8 + k) = 3k + 29 (8 * 8 + k * 8) = 3k + 29 (64 + 8k) = 3k + 29 Reorder the terms: 64 + 8k = 29 + 3k Solving 64 + 8k = 29 + 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. 64 + 8k + -3k = 29 + 3k + -3k Combine like terms: 8k + -3k = 5k 64 + 5k = 29 + 3k + -3k Combine like terms: 3k + -3k = 0 64 + 5k = 29 + 0 64 + 5k = 29 Add '-64' to each side of the equation. 64 + -64 + 5k = 29 + -64 Combine like terms: 64 + -64 = 0 0 + 5k = 29 + -64 5k = 29 + -64 Combine like terms: 29 + -64 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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