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Simplifying 6(n + 2) = 5(n + -3) Reorder the terms: 6(2 + n) = 5(n + -3) (2 * 6 + n * 6) = 5(n + -3) (12 + 6n) = 5(n + -3) Reorder the terms: 12 + 6n = 5(-3 + n) 12 + 6n = (-3 * 5 + n * 5) 12 + 6n = (-15 + 5n) Solving 12 + 6n = -15 + 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. 12 + 6n + -5n = -15 + 5n + -5n Combine like terms: 6n + -5n = 1n 12 + 1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 1n = -15 + 0 12 + 1n = -15 Add '-12' to each side of the equation. 12 + -12 + 1n = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = -15 + -12 1n = -15 + -12 Combine like terms: -15 + -12 = -27 1n = -27 Divide each side by '1'. n = -27 Simplifying n = -27
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