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Simplifying 8 + -8k = 8k + 8(5 + -6k) 8 + -8k = 8k + (5 * 8 + -6k * 8) 8 + -8k = 8k + (40 + -48k) Reorder the terms: 8 + -8k = 40 + 8k + -48k Combine like terms: 8k + -48k = -40k 8 + -8k = 40 + -40k Solving 8 + -8k = 40 + -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. 8 + -8k + 40k = 40 + -40k + 40k Combine like terms: -8k + 40k = 32k 8 + 32k = 40 + -40k + 40k Combine like terms: -40k + 40k = 0 8 + 32k = 40 + 0 8 + 32k = 40 Add '-8' to each side of the equation. 8 + -8 + 32k = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 32k = 40 + -8 32k = 40 + -8 Combine like terms: 40 + -8 = 32 32k = 32 Divide each side by '32'. k = 1 Simplifying k = 1
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