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Simplifying -1(1 + 3n) + -5(-5 + -7n) = -8 (1 * -1 + 3n * -1) + -5(-5 + -7n) = -8 (-1 + -3n) + -5(-5 + -7n) = -8 -1 + -3n + (-5 * -5 + -7n * -5) = -8 -1 + -3n + (25 + 35n) = -8 Reorder the terms: -1 + 25 + -3n + 35n = -8 Combine like terms: -1 + 25 = 24 24 + -3n + 35n = -8 Combine like terms: -3n + 35n = 32n 24 + 32n = -8 Solving 24 + 32n = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 32n = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 32n = -8 + -24 32n = -8 + -24 Combine like terms: -8 + -24 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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