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Simplifying 3(2k + 5) + -4(5k + -7) = 28 Reorder the terms: 3(5 + 2k) + -4(5k + -7) = 28 (5 * 3 + 2k * 3) + -4(5k + -7) = 28 (15 + 6k) + -4(5k + -7) = 28 Reorder the terms: 15 + 6k + -4(-7 + 5k) = 28 15 + 6k + (-7 * -4 + 5k * -4) = 28 15 + 6k + (28 + -20k) = 28 Reorder the terms: 15 + 28 + 6k + -20k = 28 Combine like terms: 15 + 28 = 43 43 + 6k + -20k = 28 Combine like terms: 6k + -20k = -14k 43 + -14k = 28 Solving 43 + -14k = 28 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -14k = 28 + -43 Combine like terms: 43 + -43 = 0 0 + -14k = 28 + -43 -14k = 28 + -43 Combine like terms: 28 + -43 = -15 -14k = -15 Divide each side by '-14'. k = 1.071428571 Simplifying k = 1.071428571
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