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Simplifying -5n + -5(n + -7) = 32 + -7n Reorder the terms: -5n + -5(-7 + n) = 32 + -7n -5n + (-7 * -5 + n * -5) = 32 + -7n -5n + (35 + -5n) = 32 + -7n Reorder the terms: 35 + -5n + -5n = 32 + -7n Combine like terms: -5n + -5n = -10n 35 + -10n = 32 + -7n Solving 35 + -10n = 32 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 35 + -10n + 7n = 32 + -7n + 7n Combine like terms: -10n + 7n = -3n 35 + -3n = 32 + -7n + 7n Combine like terms: -7n + 7n = 0 35 + -3n = 32 + 0 35 + -3n = 32 Add '-35' to each side of the equation. 35 + -35 + -3n = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -3n = 32 + -35 -3n = 32 + -35 Combine like terms: 32 + -35 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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