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Simplifying 7(k + -3) = (3k + -5) Reorder the terms: 7(-3 + k) = (3k + -5) (-3 * 7 + k * 7) = (3k + -5) (-21 + 7k) = (3k + -5) Reorder the terms: -21 + 7k = (-5 + 3k) Remove parenthesis around (-5 + 3k) -21 + 7k = -5 + 3k Solving -21 + 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. -21 + 7k + -3k = -5 + 3k + -3k Combine like terms: 7k + -3k = 4k -21 + 4k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 -21 + 4k = -5 + 0 -21 + 4k = -5 Add '21' to each side of the equation. -21 + 21 + 4k = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 4k = -5 + 21 4k = -5 + 21 Combine like terms: -5 + 21 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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