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Simplifying (7 + -2k) + 3(5 + -3k) = k + 8 Remove parenthesis around (7 + -2k) 7 + -2k + 3(5 + -3k) = k + 8 7 + -2k + (5 * 3 + -3k * 3) = k + 8 7 + -2k + (15 + -9k) = k + 8 Reorder the terms: 7 + 15 + -2k + -9k = k + 8 Combine like terms: 7 + 15 = 22 22 + -2k + -9k = k + 8 Combine like terms: -2k + -9k = -11k 22 + -11k = k + 8 Reorder the terms: 22 + -11k = 8 + k Solving 22 + -11k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 22 + -11k + -1k = 8 + k + -1k Combine like terms: -11k + -1k = -12k 22 + -12k = 8 + k + -1k Combine like terms: k + -1k = 0 22 + -12k = 8 + 0 22 + -12k = 8 Add '-22' to each side of the equation. 22 + -22 + -12k = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -12k = 8 + -22 -12k = 8 + -22 Combine like terms: 8 + -22 = -14 -12k = -14 Divide each side by '-12'. k = 1.166666667 Simplifying k = 1.166666667
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