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Simplifying 3(2k + -9) = -5(8k + 15) Reorder the terms: 3(-9 + 2k) = -5(8k + 15) (-9 * 3 + 2k * 3) = -5(8k + 15) (-27 + 6k) = -5(8k + 15) Reorder the terms: -27 + 6k = -5(15 + 8k) -27 + 6k = (15 * -5 + 8k * -5) -27 + 6k = (-75 + -40k) Solving -27 + 6k = -75 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -27 + 6k + 40k = -75 + -40k + 40k Combine like terms: 6k + 40k = 46k -27 + 46k = -75 + -40k + 40k Combine like terms: -40k + 40k = 0 -27 + 46k = -75 + 0 -27 + 46k = -75 Add '27' to each side of the equation. -27 + 27 + 46k = -75 + 27 Combine like terms: -27 + 27 = 0 0 + 46k = -75 + 27 46k = -75 + 27 Combine like terms: -75 + 27 = -48 46k = -48 Divide each side by '46'. k = -1.043478261 Simplifying k = -1.043478261
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