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Simplifying -7 + 7(6n + -1) = -3n + -14 Reorder the terms: -7 + 7(-1 + 6n) = -3n + -14 -7 + (-1 * 7 + 6n * 7) = -3n + -14 -7 + (-7 + 42n) = -3n + -14 Combine like terms: -7 + -7 = -14 -14 + 42n = -3n + -14 Reorder the terms: -14 + 42n = -14 + -3n Add '14' to each side of the equation. -14 + 14 + 42n = -14 + 14 + -3n Combine like terms: -14 + 14 = 0 0 + 42n = -14 + 14 + -3n 42n = -14 + 14 + -3n Combine like terms: -14 + 14 = 0 42n = 0 + -3n 42n = -3n Solving 42n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 42n + 3n = -3n + 3n Combine like terms: 42n + 3n = 45n 45n = -3n + 3n Combine like terms: -3n + 3n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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