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Simplifying 7 + 5(-2n + -1) = -5n + -8 Reorder the terms: 7 + 5(-1 + -2n) = -5n + -8 7 + (-1 * 5 + -2n * 5) = -5n + -8 7 + (-5 + -10n) = -5n + -8 Combine like terms: 7 + -5 = 2 2 + -10n = -5n + -8 Reorder the terms: 2 + -10n = -8 + -5n Solving 2 + -10n = -8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 2 + -10n + 5n = -8 + -5n + 5n Combine like terms: -10n + 5n = -5n 2 + -5n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + -5n = -8 + 0 2 + -5n = -8 Add '-2' to each side of the equation. 2 + -2 + -5n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -5n = -8 + -2 -5n = -8 + -2 Combine like terms: -8 + -2 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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