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Simplifying 2k + 3(k + 4) = -13 Reorder the terms: 2k + 3(4 + k) = -13 2k + (4 * 3 + k * 3) = -13 2k + (12 + 3k) = -13 Reorder the terms: 12 + 2k + 3k = -13 Combine like terms: 2k + 3k = 5k 12 + 5k = -13 Solving 12 + 5k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5k = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5k = -13 + -12 5k = -13 + -12 Combine like terms: -13 + -12 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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