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Simplifying -9(6k + 4) = 15 + -7k Reorder the terms: -9(4 + 6k) = 15 + -7k (4 * -9 + 6k * -9) = 15 + -7k (-36 + -54k) = 15 + -7k Solving -36 + -54k = 15 + -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. -36 + -54k + 7k = 15 + -7k + 7k Combine like terms: -54k + 7k = -47k -36 + -47k = 15 + -7k + 7k Combine like terms: -7k + 7k = 0 -36 + -47k = 15 + 0 -36 + -47k = 15 Add '36' to each side of the equation. -36 + 36 + -47k = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -47k = 15 + 36 -47k = 15 + 36 Combine like terms: 15 + 36 = 51 -47k = 51 Divide each side by '-47'. k = -1.085106383 Simplifying k = -1.085106383
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