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Simplifying 5n + 34 = 2(2 + -5n) Reorder the terms: 34 + 5n = 2(2 + -5n) 34 + 5n = (2 * 2 + -5n * 2) 34 + 5n = (4 + -10n) Solving 34 + 5n = 4 + -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 + 5n + 10n = 4 + -10n + 10n Combine like terms: 5n + 10n = 15n 34 + 15n = 4 + -10n + 10n Combine like terms: -10n + 10n = 0 34 + 15n = 4 + 0 34 + 15n = 4 Add '-34' to each side of the equation. 34 + -34 + 15n = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 15n = 4 + -34 15n = 4 + -34 Combine like terms: 4 + -34 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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