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Simplifying -296 = -7(1 + 6n) + 5 -296 = (1 * -7 + 6n * -7) + 5 -296 = (-7 + -42n) + 5 Reorder the terms: -296 = -7 + 5 + -42n Combine like terms: -7 + 5 = -2 -296 = -2 + -42n Solving -296 = -2 + -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. -296 + 42n = -2 + -42n + 42n Combine like terms: -42n + 42n = 0 -296 + 42n = -2 + 0 -296 + 42n = -2 Add '296' to each side of the equation. -296 + 296 + 42n = -2 + 296 Combine like terms: -296 + 296 = 0 0 + 42n = -2 + 296 42n = -2 + 296 Combine like terms: -2 + 296 = 294 42n = 294 Divide each side by '42'. n = 7 Simplifying n = 7
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