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Simplifying 7(k + -2) = 3k + -5 Reorder the terms: 7(-2 + k) = 3k + -5 (-2 * 7 + k * 7) = 3k + -5 (-14 + 7k) = 3k + -5 Reorder the terms: -14 + 7k = -5 + 3k Solving -14 + 7k = -5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -14 + 7k + -3k = -5 + 3k + -3k Combine like terms: 7k + -3k = 4k -14 + 4k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 -14 + 4k = -5 + 0 -14 + 4k = -5 Add '14' to each side of the equation. -14 + 14 + 4k = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 4k = -5 + 14 4k = -5 + 14 Combine like terms: -5 + 14 = 9 4k = 9 Divide each side by '4'. k = 2.25 Simplifying k = 2.25
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