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Simplifying 5(k + -3) = -1(7 + -2k) + 7k Reorder the terms: 5(-3 + k) = -1(7 + -2k) + 7k (-3 * 5 + k * 5) = -1(7 + -2k) + 7k (-15 + 5k) = -1(7 + -2k) + 7k -15 + 5k = (7 * -1 + -2k * -1) + 7k -15 + 5k = (-7 + 2k) + 7k Combine like terms: 2k + 7k = 9k -15 + 5k = -7 + 9k Solving -15 + 5k = -7 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -15 + 5k + -9k = -7 + 9k + -9k Combine like terms: 5k + -9k = -4k -15 + -4k = -7 + 9k + -9k Combine like terms: 9k + -9k = 0 -15 + -4k = -7 + 0 -15 + -4k = -7 Add '15' to each side of the equation. -15 + 15 + -4k = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -4k = -7 + 15 -4k = -7 + 15 Combine like terms: -7 + 15 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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