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Simplifying 294 = -7(6n + 6) Reorder the terms: 294 = -7(6 + 6n) 294 = (6 * -7 + 6n * -7) 294 = (-42 + -42n) Solving 294 = -42 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 294 + 42n = -42 + -42n + 42n Combine like terms: -42n + 42n = 0 294 + 42n = -42 + 0 294 + 42n = -42 Add '-294' to each side of the equation. 294 + -294 + 42n = -42 + -294 Combine like terms: 294 + -294 = 0 0 + 42n = -42 + -294 42n = -42 + -294 Combine like terms: -42 + -294 = -336 42n = -336 Divide each side by '42'. n = -8 Simplifying n = -8
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