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Simplifying 3(4k + 3) + -1(17k) + 13 = 0 Reorder the terms: 3(3 + 4k) + -1(17k) + 13 = 0 (3 * 3 + 4k * 3) + -1(17k) + 13 = 0 (9 + 12k) + -1(17k) + 13 = 0 Remove parenthesis around (17k) 9 + 12k + -1 * 17k + 13 = 0 Multiply -1 * 17 9 + 12k + -17k + 13 = 0 Reorder the terms: 9 + 13 + 12k + -17k = 0 Combine like terms: 9 + 13 = 22 22 + 12k + -17k = 0 Combine like terms: 12k + -17k = -5k 22 + -5k = 0 Solving 22 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5k = 0 + -22 -5k = 0 + -22 Combine like terms: 0 + -22 = -22 -5k = -22 Divide each side by '-5'. k = 4.4 Simplifying k = 4.4
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