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Simplifying 5n + 48 = 74 + -2(n + -2) Reorder the terms: 48 + 5n = 74 + -2(n + -2) Reorder the terms: 48 + 5n = 74 + -2(-2 + n) 48 + 5n = 74 + (-2 * -2 + n * -2) 48 + 5n = 74 + (4 + -2n) Combine like terms: 74 + 4 = 78 48 + 5n = 78 + -2n Solving 48 + 5n = 78 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 48 + 5n + 2n = 78 + -2n + 2n Combine like terms: 5n + 2n = 7n 48 + 7n = 78 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + 7n = 78 + 0 48 + 7n = 78 Add '-48' to each side of the equation. 48 + -48 + 7n = 78 + -48 Combine like terms: 48 + -48 = 0 0 + 7n = 78 + -48 7n = 78 + -48 Combine like terms: 78 + -48 = 30 7n = 30 Divide each side by '7'. n = 4.285714286 Simplifying n = 4.285714286
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