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Simplifying 25(k + -7) = 8(7 + -1k) Reorder the terms: 25(-7 + k) = 8(7 + -1k) (-7 * 25 + k * 25) = 8(7 + -1k) (-175 + 25k) = 8(7 + -1k) -175 + 25k = (7 * 8 + -1k * 8) -175 + 25k = (56 + -8k) Solving -175 + 25k = 56 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -175 + 25k + 8k = 56 + -8k + 8k Combine like terms: 25k + 8k = 33k -175 + 33k = 56 + -8k + 8k Combine like terms: -8k + 8k = 0 -175 + 33k = 56 + 0 -175 + 33k = 56 Add '175' to each side of the equation. -175 + 175 + 33k = 56 + 175 Combine like terms: -175 + 175 = 0 0 + 33k = 56 + 175 33k = 56 + 175 Combine like terms: 56 + 175 = 231 33k = 231 Divide each side by '33'. k = 7 Simplifying k = 7
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