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Simplifying 3(5k + -9) + -2(k + -5) = 0 Reorder the terms: 3(-9 + 5k) + -2(k + -5) = 0 (-9 * 3 + 5k * 3) + -2(k + -5) = 0 (-27 + 15k) + -2(k + -5) = 0 Reorder the terms: -27 + 15k + -2(-5 + k) = 0 -27 + 15k + (-5 * -2 + k * -2) = 0 -27 + 15k + (10 + -2k) = 0 Reorder the terms: -27 + 10 + 15k + -2k = 0 Combine like terms: -27 + 10 = -17 -17 + 15k + -2k = 0 Combine like terms: 15k + -2k = 13k -17 + 13k = 0 Solving -17 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 13k = 0 + 17 13k = 0 + 17 Combine like terms: 0 + 17 = 17 13k = 17 Divide each side by '13'. k = 1.307692308 Simplifying k = 1.307692308
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