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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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