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Simplifying 114 = 3k + 6(k + 7) Reorder the terms: 114 = 3k + 6(7 + k) 114 = 3k + (7 * 6 + k * 6) 114 = 3k + (42 + 6k) Reorder the terms: 114 = 42 + 3k + 6k Combine like terms: 3k + 6k = 9k 114 = 42 + 9k Solving 114 = 42 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 114 + -9k = 42 + 9k + -9k Combine like terms: 9k + -9k = 0 114 + -9k = 42 + 0 114 + -9k = 42 Add '-114' to each side of the equation. 114 + -114 + -9k = 42 + -114 Combine like terms: 114 + -114 = 0 0 + -9k = 42 + -114 -9k = 42 + -114 Combine like terms: 42 + -114 = -72 -9k = -72 Divide each side by '-9'. k = 8 Simplifying k = 8
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