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Simplifying (n + -7) * 7 = 35 Reorder the terms: (-7 + n) * 7 = 35 Reorder the terms for easier multiplication: 7(-7 + n) = 35 (-7 * 7 + n * 7) = 35 (-49 + 7n) = 35 Solving -49 + 7n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7n = 35 + 49 Combine like terms: -49 + 49 = 0 0 + 7n = 35 + 49 7n = 35 + 49 Combine like terms: 35 + 49 = 84 7n = 84 Divide each side by '7'. n = 12 Simplifying n = 12
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