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Simplifying 28 + 3n = 7(n + 8) + 4 Reorder the terms: 28 + 3n = 7(8 + n) + 4 28 + 3n = (8 * 7 + n * 7) + 4 28 + 3n = (56 + 7n) + 4 Reorder the terms: 28 + 3n = 56 + 4 + 7n Combine like terms: 56 + 4 = 60 28 + 3n = 60 + 7n Solving 28 + 3n = 60 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 28 + 3n + -7n = 60 + 7n + -7n Combine like terms: 3n + -7n = -4n 28 + -4n = 60 + 7n + -7n Combine like terms: 7n + -7n = 0 28 + -4n = 60 + 0 28 + -4n = 60 Add '-28' to each side of the equation. 28 + -28 + -4n = 60 + -28 Combine like terms: 28 + -28 = 0 0 + -4n = 60 + -28 -4n = 60 + -28 Combine like terms: 60 + -28 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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