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Simplifying 205 = -5(1 + -7k) 205 = (1 * -5 + -7k * -5) 205 = (-5 + 35k) Solving 205 = -5 + 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. 205 + -35k = -5 + 35k + -35k Combine like terms: 35k + -35k = 0 205 + -35k = -5 + 0 205 + -35k = -5 Add '-205' to each side of the equation. 205 + -205 + -35k = -5 + -205 Combine like terms: 205 + -205 = 0 0 + -35k = -5 + -205 -35k = -5 + -205 Combine like terms: -5 + -205 = -210 -35k = -210 Divide each side by '-35'. k = 6 Simplifying k = 6
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