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Simplifying -9(k + -3) + -1(8 + 3k) = 13k Reorder the terms: -9(-3 + k) + -1(8 + 3k) = 13k (-3 * -9 + k * -9) + -1(8 + 3k) = 13k (27 + -9k) + -1(8 + 3k) = 13k 27 + -9k + (8 * -1 + 3k * -1) = 13k 27 + -9k + (-8 + -3k) = 13k Reorder the terms: 27 + -8 + -9k + -3k = 13k Combine like terms: 27 + -8 = 19 19 + -9k + -3k = 13k Combine like terms: -9k + -3k = -12k 19 + -12k = 13k Solving 19 + -12k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 19 + -12k + -13k = 13k + -13k Combine like terms: -12k + -13k = -25k 19 + -25k = 13k + -13k Combine like terms: 13k + -13k = 0 19 + -25k = 0 Add '-19' to each side of the equation. 19 + -19 + -25k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -25k = 0 + -19 -25k = 0 + -19 Combine like terms: 0 + -19 = -19 -25k = -19 Divide each side by '-25'. k = 0.76 Simplifying k = 0.76
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