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Simplifying 35 + 7k = -7(-8 + -3k) + -7k 35 + 7k = (-8 * -7 + -3k * -7) + -7k 35 + 7k = (56 + 21k) + -7k Combine like terms: 21k + -7k = 14k 35 + 7k = 56 + 14k Solving 35 + 7k = 56 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 35 + 7k + -14k = 56 + 14k + -14k Combine like terms: 7k + -14k = -7k 35 + -7k = 56 + 14k + -14k Combine like terms: 14k + -14k = 0 35 + -7k = 56 + 0 35 + -7k = 56 Add '-35' to each side of the equation. 35 + -35 + -7k = 56 + -35 Combine like terms: 35 + -35 = 0 0 + -7k = 56 + -35 -7k = 56 + -35 Combine like terms: 56 + -35 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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