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Simplifying 5n + 34 = -2(1 + -87n) Reorder the terms: 34 + 5n = -2(1 + -87n) 34 + 5n = (1 * -2 + -87n * -2) 34 + 5n = (-2 + 174n) Solving 34 + 5n = -2 + 174n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-174n' to each side of the equation. 34 + 5n + -174n = -2 + 174n + -174n Combine like terms: 5n + -174n = -169n 34 + -169n = -2 + 174n + -174n Combine like terms: 174n + -174n = 0 34 + -169n = -2 + 0 34 + -169n = -2 Add '-34' to each side of the equation. 34 + -34 + -169n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -169n = -2 + -34 -169n = -2 + -34 Combine like terms: -2 + -34 = -36 -169n = -36 Divide each side by '-169'. n = 0.2130177515 Simplifying n = 0.2130177515
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