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Simplifying -252 = -7(1 + 5k) -252 = (1 * -7 + 5k * -7) -252 = (-7 + -35k) Solving -252 = -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. -252 + 35k = -7 + -35k + 35k Combine like terms: -35k + 35k = 0 -252 + 35k = -7 + 0 -252 + 35k = -7 Add '252' to each side of the equation. -252 + 252 + 35k = -7 + 252 Combine like terms: -252 + 252 = 0 0 + 35k = -7 + 252 35k = -7 + 252 Combine like terms: -7 + 252 = 245 35k = 245 Divide each side by '35'. k = 7 Simplifying k = 7
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