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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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