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Simplifying 4(3 + -9k) + 15 = -225 (3 * 4 + -9k * 4) + 15 = -225 (12 + -36k) + 15 = -225 Reorder the terms: 12 + 15 + -36k = -225 Combine like terms: 12 + 15 = 27 27 + -36k = -225 Solving 27 + -36k = -225 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -36k = -225 + -27 Combine like terms: 27 + -27 = 0 0 + -36k = -225 + -27 -36k = -225 + -27 Combine like terms: -225 + -27 = -252 -36k = -252 Divide each side by '-36'. k = 7 Simplifying k = 7
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