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Simplifying -7(n + -5) + 7(2 + -3n) = 0 Reorder the terms: -7(-5 + n) + 7(2 + -3n) = 0 (-5 * -7 + n * -7) + 7(2 + -3n) = 0 (35 + -7n) + 7(2 + -3n) = 0 35 + -7n + (2 * 7 + -3n * 7) = 0 35 + -7n + (14 + -21n) = 0 Reorder the terms: 35 + 14 + -7n + -21n = 0 Combine like terms: 35 + 14 = 49 49 + -7n + -21n = 0 Combine like terms: -7n + -21n = -28n 49 + -28n = 0 Solving 49 + -28n = 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 + -28n = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -28n = 0 + -49 -28n = 0 + -49 Combine like terms: 0 + -49 = -49 -28n = -49 Divide each side by '-28'. n = 1.75 Simplifying n = 1.75
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