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Simplifying -5 + -3(-5k + 2) = -35 + 7k Reorder the terms: -5 + -3(2 + -5k) = -35 + 7k -5 + (2 * -3 + -5k * -3) = -35 + 7k -5 + (-6 + 15k) = -35 + 7k Combine like terms: -5 + -6 = -11 -11 + 15k = -35 + 7k Solving -11 + 15k = -35 + 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. -11 + 15k + -7k = -35 + 7k + -7k Combine like terms: 15k + -7k = 8k -11 + 8k = -35 + 7k + -7k Combine like terms: 7k + -7k = 0 -11 + 8k = -35 + 0 -11 + 8k = -35 Add '11' to each side of the equation. -11 + 11 + 8k = -35 + 11 Combine like terms: -11 + 11 = 0 0 + 8k = -35 + 11 8k = -35 + 11 Combine like terms: -35 + 11 = -24 8k = -24 Divide each side by '8'. k = -3 Simplifying k = -3
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