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Simplifying -3(n + 2) = 4n + -34 Reorder the terms: -3(2 + n) = 4n + -34 (2 * -3 + n * -3) = 4n + -34 (-6 + -3n) = 4n + -34 Reorder the terms: -6 + -3n = -34 + 4n Solving -6 + -3n = -34 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -6 + -3n + -4n = -34 + 4n + -4n Combine like terms: -3n + -4n = -7n -6 + -7n = -34 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + -7n = -34 + 0 -6 + -7n = -34 Add '6' to each side of the equation. -6 + 6 + -7n = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -7n = -34 + 6 -7n = -34 + 6 Combine like terms: -34 + 6 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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