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Simplifying 7(7k + -3) = 3k + -5 Reorder the terms: 7(-3 + 7k) = 3k + -5 (-3 * 7 + 7k * 7) = 3k + -5 (-21 + 49k) = 3k + -5 Reorder the terms: -21 + 49k = -5 + 3k Solving -21 + 49k = -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 + 49k + -3k = -5 + 3k + -3k Combine like terms: 49k + -3k = 46k -21 + 46k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 -21 + 46k = -5 + 0 -21 + 46k = -5 Add '21' to each side of the equation. -21 + 21 + 46k = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 46k = -5 + 21 46k = -5 + 21 Combine like terms: -5 + 21 = 16 46k = 16 Divide each side by '46'. k = 0.347826087 Simplifying k = 0.347826087
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