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Simplifying 3 + 2n = 5(n + -6) Reorder the terms: 3 + 2n = 5(-6 + n) 3 + 2n = (-6 * 5 + n * 5) 3 + 2n = (-30 + 5n) Solving 3 + 2n = -30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 2n + -5n = -30 + 5n + -5n Combine like terms: 2n + -5n = -3n 3 + -3n = -30 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -3n = -30 + 0 3 + -3n = -30 Add '-3' to each side of the equation. 3 + -3 + -3n = -30 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -30 + -3 -3n = -30 + -3 Combine like terms: -30 + -3 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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