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Simplifying 3(3k + 3) + -4(k + -5) = 0 Reorder the terms: 3(3 + 3k) + -4(k + -5) = 0 (3 * 3 + 3k * 3) + -4(k + -5) = 0 (9 + 9k) + -4(k + -5) = 0 Reorder the terms: 9 + 9k + -4(-5 + k) = 0 9 + 9k + (-5 * -4 + k * -4) = 0 9 + 9k + (20 + -4k) = 0 Reorder the terms: 9 + 20 + 9k + -4k = 0 Combine like terms: 9 + 20 = 29 29 + 9k + -4k = 0 Combine like terms: 9k + -4k = 5k 29 + 5k = 0 Solving 29 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5k = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5k = 0 + -29 5k = 0 + -29 Combine like terms: 0 + -29 = -29 5k = -29 Divide each side by '5'. k = -5.8 Simplifying k = -5.8
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