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Simplifying 5(3k + -7) = 2(7k + -2) Reorder the terms: 5(-7 + 3k) = 2(7k + -2) (-7 * 5 + 3k * 5) = 2(7k + -2) (-35 + 15k) = 2(7k + -2) Reorder the terms: -35 + 15k = 2(-2 + 7k) -35 + 15k = (-2 * 2 + 7k * 2) -35 + 15k = (-4 + 14k) Solving -35 + 15k = -4 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -35 + 15k + -14k = -4 + 14k + -14k Combine like terms: 15k + -14k = 1k -35 + 1k = -4 + 14k + -14k Combine like terms: 14k + -14k = 0 -35 + 1k = -4 + 0 -35 + 1k = -4 Add '35' to each side of the equation. -35 + 35 + 1k = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 1k = -4 + 35 1k = -4 + 35 Combine like terms: -4 + 35 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31
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