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Simplifying -32 + -4k = 7(1 + 5k) -32 + -4k = (1 * 7 + 5k * 7) -32 + -4k = (7 + 35k) Solving -32 + -4k = 7 + 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 + -4k + -35k = 7 + 35k + -35k Combine like terms: -4k + -35k = -39k -32 + -39k = 7 + 35k + -35k Combine like terms: 35k + -35k = 0 -32 + -39k = 7 + 0 -32 + -39k = 7 Add '32' to each side of the equation. -32 + 32 + -39k = 7 + 32 Combine like terms: -32 + 32 = 0 0 + -39k = 7 + 32 -39k = 7 + 32 Combine like terms: 7 + 32 = 39 -39k = 39 Divide each side by '-39'. k = -1 Simplifying k = -1
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