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Simplifying -7(-3n + -5) + 3 = -34n + 3n Reorder the terms: -7(-5 + -3n) + 3 = -34n + 3n (-5 * -7 + -3n * -7) + 3 = -34n + 3n (35 + 21n) + 3 = -34n + 3n Reorder the terms: 35 + 3 + 21n = -34n + 3n Combine like terms: 35 + 3 = 38 38 + 21n = -34n + 3n Combine like terms: -34n + 3n = -31n 38 + 21n = -31n Solving 38 + 21n = -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. 38 + 21n + 31n = -31n + 31n Combine like terms: 21n + 31n = 52n 38 + 52n = -31n + 31n Combine like terms: -31n + 31n = 0 38 + 52n = 0 Add '-38' to each side of the equation. 38 + -38 + 52n = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 52n = 0 + -38 52n = 0 + -38 Combine like terms: 0 + -38 = -38 52n = -38 Divide each side by '52'. n = -0.7307692308 Simplifying n = -0.7307692308
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