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Simplifying 7(6 + -3k) = 147 (6 * 7 + -3k * 7) = 147 (42 + -21k) = 147 Solving 42 + -21k = 147 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -21k = 147 + -42 Combine like terms: 42 + -42 = 0 0 + -21k = 147 + -42 -21k = 147 + -42 Combine like terms: 147 + -42 = 105 -21k = 105 Divide each side by '-21'. k = -5 Simplifying k = -5
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