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Simplifying 5 = 7 + -3(3k + 2) Reorder the terms: 5 = 7 + -3(2 + 3k) 5 = 7 + (2 * -3 + 3k * -3) 5 = 7 + (-6 + -9k) Combine like terms: 7 + -6 = 1 5 = 1 + -9k Solving 5 = 1 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 5 + 9k = 1 + -9k + 9k Combine like terms: -9k + 9k = 0 5 + 9k = 1 + 0 5 + 9k = 1 Add '-5' to each side of the equation. 5 + -5 + 9k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 9k = 1 + -5 9k = 1 + -5 Combine like terms: 1 + -5 = -4 9k = -4 Divide each side by '9'. k = -0.4444444444 Simplifying k = -0.4444444444
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