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Simplifying 4 + 8k = 8 + 4(8k + -1) Reorder the terms: 4 + 8k = 8 + 4(-1 + 8k) 4 + 8k = 8 + (-1 * 4 + 8k * 4) 4 + 8k = 8 + (-4 + 32k) Combine like terms: 8 + -4 = 4 4 + 8k = 4 + 32k Add '-4' to each side of the equation. 4 + -4 + 8k = 4 + -4 + 32k Combine like terms: 4 + -4 = 0 0 + 8k = 4 + -4 + 32k 8k = 4 + -4 + 32k Combine like terms: 4 + -4 = 0 8k = 0 + 32k 8k = 32k Solving 8k = 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 8k + -32k = 32k + -32k Combine like terms: 8k + -32k = -24k -24k = 32k + -32k Combine like terms: 32k + -32k = 0 -24k = 0 Divide each side by '-24'. k = 0 Simplifying k = 0
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