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Simplifying 4(3k + -7) = (3k + -2) Reorder the terms: 4(-7 + 3k) = (3k + -2) (-7 * 4 + 3k * 4) = (3k + -2) (-28 + 12k) = (3k + -2) Reorder the terms: -28 + 12k = (-2 + 3k) Remove parenthesis around (-2 + 3k) -28 + 12k = -2 + 3k Solving -28 + 12k = -2 + 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. -28 + 12k + -3k = -2 + 3k + -3k Combine like terms: 12k + -3k = 9k -28 + 9k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 -28 + 9k = -2 + 0 -28 + 9k = -2 Add '28' to each side of the equation. -28 + 28 + 9k = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 9k = -2 + 28 9k = -2 + 28 Combine like terms: -2 + 28 = 26 9k = 26 Divide each side by '9'. k = 2.888888889 Simplifying k = 2.888888889
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