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Simplifying 5(k + -3) + 2(k + -4) = 15 Reorder the terms: 5(-3 + k) + 2(k + -4) = 15 (-3 * 5 + k * 5) + 2(k + -4) = 15 (-15 + 5k) + 2(k + -4) = 15 Reorder the terms: -15 + 5k + 2(-4 + k) = 15 -15 + 5k + (-4 * 2 + k * 2) = 15 -15 + 5k + (-8 + 2k) = 15 Reorder the terms: -15 + -8 + 5k + 2k = 15 Combine like terms: -15 + -8 = -23 -23 + 5k + 2k = 15 Combine like terms: 5k + 2k = 7k -23 + 7k = 15 Solving -23 + 7k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 7k = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 7k = 15 + 23 7k = 15 + 23 Combine like terms: 15 + 23 = 38 7k = 38 Divide each side by '7'. k = 5.428571429 Simplifying k = 5.428571429
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