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Simplifying 294 = -6(6k + -7) Reorder the terms: 294 = -6(-7 + 6k) 294 = (-7 * -6 + 6k * -6) 294 = (42 + -36k) Solving 294 = 42 + -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 294 + 36k = 42 + -36k + 36k Combine like terms: -36k + 36k = 0 294 + 36k = 42 + 0 294 + 36k = 42 Add '-294' to each side of the equation. 294 + -294 + 36k = 42 + -294 Combine like terms: 294 + -294 = 0 0 + 36k = 42 + -294 36k = 42 + -294 Combine like terms: 42 + -294 = -252 36k = -252 Divide each side by '36'. k = -7 Simplifying k = -7
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