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Simplifying -32 + -8k = 8(1 + -6k) -32 + -8k = (1 * 8 + -6k * 8) -32 + -8k = (8 + -48k) Solving -32 + -8k = 8 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -32 + -8k + 48k = 8 + -48k + 48k Combine like terms: -8k + 48k = 40k -32 + 40k = 8 + -48k + 48k Combine like terms: -48k + 48k = 0 -32 + 40k = 8 + 0 -32 + 40k = 8 Add '32' to each side of the equation. -32 + 32 + 40k = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 40k = 8 + 32 40k = 8 + 32 Combine like terms: 8 + 32 = 40 40k = 40 Divide each side by '40'. k = 1 Simplifying k = 1
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