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Simplifying 6k + 32 = 8(5k + 4) Reorder the terms: 32 + 6k = 8(5k + 4) Reorder the terms: 32 + 6k = 8(4 + 5k) 32 + 6k = (4 * 8 + 5k * 8) 32 + 6k = (32 + 40k) Add '-32' to each side of the equation. 32 + -32 + 6k = 32 + -32 + 40k Combine like terms: 32 + -32 = 0 0 + 6k = 32 + -32 + 40k 6k = 32 + -32 + 40k Combine like terms: 32 + -32 = 0 6k = 0 + 40k 6k = 40k Solving 6k = 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 6k + -40k = 40k + -40k Combine like terms: 6k + -40k = -34k -34k = 40k + -40k Combine like terms: 40k + -40k = 0 -34k = 0 Divide each side by '-34'. k = 0 Simplifying k = 0
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