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Simplifying 2(n + 14) = 3n + 12 Reorder the terms: 2(14 + n) = 3n + 12 (14 * 2 + n * 2) = 3n + 12 (28 + 2n) = 3n + 12 Reorder the terms: 28 + 2n = 12 + 3n Solving 28 + 2n = 12 + 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. 28 + 2n + -3n = 12 + 3n + -3n Combine like terms: 2n + -3n = -1n 28 + -1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 28 + -1n = 12 + 0 28 + -1n = 12 Add '-28' to each side of the equation. 28 + -28 + -1n = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 12 + -28 -1n = 12 + -28 Combine like terms: 12 + -28 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16
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