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Simplifying 203 = -7(1 + -5k) 203 = (1 * -7 + -5k * -7) 203 = (-7 + 35k) Solving 203 = -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. 203 + -35k = -7 + 35k + -35k Combine like terms: 35k + -35k = 0 203 + -35k = -7 + 0 203 + -35k = -7 Add '-203' to each side of the equation. 203 + -203 + -35k = -7 + -203 Combine like terms: 203 + -203 = 0 0 + -35k = -7 + -203 -35k = -7 + -203 Combine like terms: -7 + -203 = -210 -35k = -210 Divide each side by '-35'. k = 6 Simplifying k = 6
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