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Simplifying 2(n + 2) = 3n + -6 Reorder the terms: 2(2 + n) = 3n + -6 (2 * 2 + n * 2) = 3n + -6 (4 + 2n) = 3n + -6 Reorder the terms: 4 + 2n = -6 + 3n Solving 4 + 2n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 2n + -3n = -6 + 3n + -3n Combine like terms: 2n + -3n = -1n 4 + -1n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -1n = -6 + 0 4 + -1n = -6 Add '-4' to each side of the equation. 4 + -4 + -1n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -6 + -4 -1n = -6 + -4 Combine like terms: -6 + -4 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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