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Simplifying 4(k + 3) = 9(5k + -2) Reorder the terms: 4(3 + k) = 9(5k + -2) (3 * 4 + k * 4) = 9(5k + -2) (12 + 4k) = 9(5k + -2) Reorder the terms: 12 + 4k = 9(-2 + 5k) 12 + 4k = (-2 * 9 + 5k * 9) 12 + 4k = (-18 + 45k) Solving 12 + 4k = -18 + 45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45k' to each side of the equation. 12 + 4k + -45k = -18 + 45k + -45k Combine like terms: 4k + -45k = -41k 12 + -41k = -18 + 45k + -45k Combine like terms: 45k + -45k = 0 12 + -41k = -18 + 0 12 + -41k = -18 Add '-12' to each side of the equation. 12 + -12 + -41k = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -41k = -18 + -12 -41k = -18 + -12 Combine like terms: -18 + -12 = -30 -41k = -30 Divide each side by '-41'. k = 0.7317073171 Simplifying k = 0.7317073171
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