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Simplifying 3(2k + -3) = -1(5 + -7k) Reorder the terms: 3(-3 + 2k) = -1(5 + -7k) (-3 * 3 + 2k * 3) = -1(5 + -7k) (-9 + 6k) = -1(5 + -7k) -9 + 6k = (5 * -1 + -7k * -1) -9 + 6k = (-5 + 7k) Solving -9 + 6k = -5 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -9 + 6k + -7k = -5 + 7k + -7k Combine like terms: 6k + -7k = -1k -9 + -1k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + -1k = -5 + 0 -9 + -1k = -5 Add '9' to each side of the equation. -9 + 9 + -1k = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = -5 + 9 -1k = -5 + 9 Combine like terms: -5 + 9 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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