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Simplifying 4(n + 7) + 2 = 9n + 28 + -3n Reorder the terms: 4(7 + n) + 2 = 9n + 28 + -3n (7 * 4 + n * 4) + 2 = 9n + 28 + -3n (28 + 4n) + 2 = 9n + 28 + -3n Reorder the terms: 28 + 2 + 4n = 9n + 28 + -3n Combine like terms: 28 + 2 = 30 30 + 4n = 9n + 28 + -3n Reorder the terms: 30 + 4n = 28 + 9n + -3n Combine like terms: 9n + -3n = 6n 30 + 4n = 28 + 6n Solving 30 + 4n = 28 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 30 + 4n + -6n = 28 + 6n + -6n Combine like terms: 4n + -6n = -2n 30 + -2n = 28 + 6n + -6n Combine like terms: 6n + -6n = 0 30 + -2n = 28 + 0 30 + -2n = 28 Add '-30' to each side of the equation. 30 + -30 + -2n = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -2n = 28 + -30 -2n = 28 + -30 Combine like terms: 28 + -30 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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