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Simplifying 238 = -7(1 + -5k) 238 = (1 * -7 + -5k * -7) 238 = (-7 + 35k) Solving 238 = -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. 238 + -35k = -7 + 35k + -35k Combine like terms: 35k + -35k = 0 238 + -35k = -7 + 0 238 + -35k = -7 Add '-238' to each side of the equation. 238 + -238 + -35k = -7 + -238 Combine like terms: 238 + -238 = 0 0 + -35k = -7 + -238 -35k = -7 + -238 Combine like terms: -7 + -238 = -245 -35k = -245 Divide each side by '-35'. k = 7 Simplifying k = 7
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