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Simplifying 147 = 7(6 + -3k) 147 = (6 * 7 + -3k * 7) 147 = (42 + -21k) Solving 147 = 42 + -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. 147 + 21k = 42 + -21k + 21k Combine like terms: -21k + 21k = 0 147 + 21k = 42 + 0 147 + 21k = 42 Add '-147' to each side of the equation. 147 + -147 + 21k = 42 + -147 Combine like terms: 147 + -147 = 0 0 + 21k = 42 + -147 21k = 42 + -147 Combine like terms: 42 + -147 = -105 21k = -105 Divide each side by '21'. k = -5 Simplifying k = -5
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