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Simplifying -32 + -8k = 7(7 + -5k) -32 + -8k = (7 * 7 + -5k * 7) -32 + -8k = (49 + -35k) Solving -32 + -8k = 49 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. -32 + -8k + 35k = 49 + -35k + 35k Combine like terms: -8k + 35k = 27k -32 + 27k = 49 + -35k + 35k Combine like terms: -35k + 35k = 0 -32 + 27k = 49 + 0 -32 + 27k = 49 Add '32' to each side of the equation. -32 + 32 + 27k = 49 + 32 Combine like terms: -32 + 32 = 0 0 + 27k = 49 + 32 27k = 49 + 32 Combine like terms: 49 + 32 = 81 27k = 81 Divide each side by '27'. k = 3 Simplifying k = 3
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