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Simplifying 5(n + -3) + 2 = -34 + 2n Reorder the terms: 5(-3 + n) + 2 = -34 + 2n (-3 * 5 + n * 5) + 2 = -34 + 2n (-15 + 5n) + 2 = -34 + 2n Reorder the terms: -15 + 2 + 5n = -34 + 2n Combine like terms: -15 + 2 = -13 -13 + 5n = -34 + 2n Solving -13 + 5n = -34 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -13 + 5n + -2n = -34 + 2n + -2n Combine like terms: 5n + -2n = 3n -13 + 3n = -34 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + 3n = -34 + 0 -13 + 3n = -34 Add '13' to each side of the equation. -13 + 13 + 3n = -34 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = -34 + 13 3n = -34 + 13 Combine like terms: -34 + 13 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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