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Simplifying 3k + 9(-2k + 1) = 5k + 4 Reorder the terms: 3k + 9(1 + -2k) = 5k + 4 3k + (1 * 9 + -2k * 9) = 5k + 4 3k + (9 + -18k) = 5k + 4 Reorder the terms: 9 + 3k + -18k = 5k + 4 Combine like terms: 3k + -18k = -15k 9 + -15k = 5k + 4 Reorder the terms: 9 + -15k = 4 + 5k Solving 9 + -15k = 4 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + -15k + -5k = 4 + 5k + -5k Combine like terms: -15k + -5k = -20k 9 + -20k = 4 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + -20k = 4 + 0 9 + -20k = 4 Add '-9' to each side of the equation. 9 + -9 + -20k = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -20k = 4 + -9 -20k = 4 + -9 Combine like terms: 4 + -9 = -5 -20k = -5 Divide each side by '-20'. k = 0.25 Simplifying k = 0.25
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