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Simplifying 2(n + 8) = 3n + -6 Reorder the terms: 2(8 + n) = 3n + -6 (8 * 2 + n * 2) = 3n + -6 (16 + 2n) = 3n + -6 Reorder the terms: 16 + 2n = -6 + 3n Solving 16 + 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. 16 + 2n + -3n = -6 + 3n + -3n Combine like terms: 2n + -3n = -1n 16 + -1n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 16 + -1n = -6 + 0 16 + -1n = -6 Add '-16' to each side of the equation. 16 + -16 + -1n = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = -6 + -16 -1n = -6 + -16 Combine like terms: -6 + -16 = -22 -1n = -22 Divide each side by '-1'. n = 22 Simplifying n = 22
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