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Simplifying 7n + 3 = 3(n + -1) + 12 Reorder the terms: 3 + 7n = 3(n + -1) + 12 Reorder the terms: 3 + 7n = 3(-1 + n) + 12 3 + 7n = (-1 * 3 + n * 3) + 12 3 + 7n = (-3 + 3n) + 12 Reorder the terms: 3 + 7n = -3 + 12 + 3n Combine like terms: -3 + 12 = 9 3 + 7n = 9 + 3n Solving 3 + 7n = 9 + 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. 3 + 7n + -3n = 9 + 3n + -3n Combine like terms: 7n + -3n = 4n 3 + 4n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + 4n = 9 + 0 3 + 4n = 9 Add '-3' to each side of the equation. 3 + -3 + 4n = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 9 + -3 4n = 9 + -3 Combine like terms: 9 + -3 = 6 4n = 6 Divide each side by '4'. n = 1.5 Simplifying n = 1.5
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