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Simplifying 39 + 3n = 3(7n + -5) Reorder the terms: 39 + 3n = 3(-5 + 7n) 39 + 3n = (-5 * 3 + 7n * 3) 39 + 3n = (-15 + 21n) Solving 39 + 3n = -15 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 39 + 3n + -21n = -15 + 21n + -21n Combine like terms: 3n + -21n = -18n 39 + -18n = -15 + 21n + -21n Combine like terms: 21n + -21n = 0 39 + -18n = -15 + 0 39 + -18n = -15 Add '-39' to each side of the equation. 39 + -39 + -18n = -15 + -39 Combine like terms: 39 + -39 = 0 0 + -18n = -15 + -39 -18n = -15 + -39 Combine like terms: -15 + -39 = -54 -18n = -54 Divide each side by '-18'. n = 3 Simplifying n = 3
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