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Simplifying 7(n + -7) + -5n = 0 Reorder the terms: 7(-7 + n) + -5n = 0 (-7 * 7 + n * 7) + -5n = 0 (-49 + 7n) + -5n = 0 Combine like terms: 7n + -5n = 2n -49 + 2n = 0 Solving -49 + 2n = 0 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 + 2n = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 2n = 0 + 49 2n = 0 + 49 Combine like terms: 0 + 49 = 49 2n = 49 Divide each side by '2'. n = 24.5 Simplifying n = 24.5
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