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Simplifying 7n + 34 = -5(4 + -5n) Reorder the terms: 34 + 7n = -5(4 + -5n) 34 + 7n = (4 * -5 + -5n * -5) 34 + 7n = (-20 + 25n) Solving 34 + 7n = -20 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 34 + 7n + -25n = -20 + 25n + -25n Combine like terms: 7n + -25n = -18n 34 + -18n = -20 + 25n + -25n Combine like terms: 25n + -25n = 0 34 + -18n = -20 + 0 34 + -18n = -20 Add '-34' to each side of the equation. 34 + -34 + -18n = -20 + -34 Combine like terms: 34 + -34 = 0 0 + -18n = -20 + -34 -18n = -20 + -34 Combine like terms: -20 + -34 = -54 -18n = -54 Divide each side by '-18'. n = 3 Simplifying n = 3
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