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Simplifying -7n + 34 = -2(5n + -5) Reorder the terms: 34 + -7n = -2(5n + -5) Reorder the terms: 34 + -7n = -2(-5 + 5n) 34 + -7n = (-5 * -2 + 5n * -2) 34 + -7n = (10 + -10n) Solving 34 + -7n = 10 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 34 + -7n + 10n = 10 + -10n + 10n Combine like terms: -7n + 10n = 3n 34 + 3n = 10 + -10n + 10n Combine like terms: -10n + 10n = 0 34 + 3n = 10 + 0 34 + 3n = 10 Add '-34' to each side of the equation. 34 + -34 + 3n = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 3n = 10 + -34 3n = 10 + -34 Combine like terms: 10 + -34 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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