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Simplifying 252 = 7(5k + -4) Reorder the terms: 252 = 7(-4 + 5k) 252 = (-4 * 7 + 5k * 7) 252 = (-28 + 35k) Solving 252 = -28 + 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 = -28 + 35k + -35k Combine like terms: 35k + -35k = 0 252 + -35k = -28 + 0 252 + -35k = -28 Add '-252' to each side of the equation. 252 + -252 + -35k = -28 + -252 Combine like terms: 252 + -252 = 0 0 + -35k = -28 + -252 -35k = -28 + -252 Combine like terms: -28 + -252 = -280 -35k = -280 Divide each side by '-35'. k = 8 Simplifying k = 8
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