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Simplifying 5k + 7(k + -3) = -105 Reorder the terms: 5k + 7(-3 + k) = -105 5k + (-3 * 7 + k * 7) = -105 5k + (-21 + 7k) = -105 Reorder the terms: -21 + 5k + 7k = -105 Combine like terms: 5k + 7k = 12k -21 + 12k = -105 Solving -21 + 12k = -105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 12k = -105 + 21 Combine like terms: -21 + 21 = 0 0 + 12k = -105 + 21 12k = -105 + 21 Combine like terms: -105 + 21 = -84 12k = -84 Divide each side by '12'. k = -7 Simplifying k = -7
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