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Simplifying 114 = 3(3 + -7k) 114 = (3 * 3 + -7k * 3) 114 = (9 + -21k) Solving 114 = 9 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 114 + 21k = 9 + -21k + 21k Combine like terms: -21k + 21k = 0 114 + 21k = 9 + 0 114 + 21k = 9 Add '-114' to each side of the equation. 114 + -114 + 21k = 9 + -114 Combine like terms: 114 + -114 = 0 0 + 21k = 9 + -114 21k = 9 + -114 Combine like terms: 9 + -114 = -105 21k = -105 Divide each side by '21'. k = -5 Simplifying k = -5
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