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