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Simplifying 5n + 34 = -2(6 + 5n) Reorder the terms: 34 + 5n = -2(6 + 5n) 34 + 5n = (6 * -2 + 5n * -2) 34 + 5n = (-12 + -10n) Solving 34 + 5n = -12 + -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 = -12 + -10n + 10n Combine like terms: 5n + 10n = 15n 34 + 15n = -12 + -10n + 10n Combine like terms: -10n + 10n = 0 34 + 15n = -12 + 0 34 + 15n = -12 Add '-34' to each side of the equation. 34 + -34 + 15n = -12 + -34 Combine like terms: 34 + -34 = 0 0 + 15n = -12 + -34 15n = -12 + -34 Combine like terms: -12 + -34 = -46 15n = -46 Divide each side by '15'. n = -3.066666667 Simplifying n = -3.066666667
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