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Simplifying 5n + 48 = 7n + -1(n + -2) Reorder the terms: 48 + 5n = 7n + -1(n + -2) Reorder the terms: 48 + 5n = 7n + -1(-2 + n) 48 + 5n = 7n + (-2 * -1 + n * -1) 48 + 5n = 7n + (2 + -1n) Reorder the terms: 48 + 5n = 2 + 7n + -1n Combine like terms: 7n + -1n = 6n 48 + 5n = 2 + 6n Solving 48 + 5n = 2 + 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. 48 + 5n + -6n = 2 + 6n + -6n Combine like terms: 5n + -6n = -1n 48 + -1n = 2 + 6n + -6n Combine like terms: 6n + -6n = 0 48 + -1n = 2 + 0 48 + -1n = 2 Add '-48' to each side of the equation. 48 + -48 + -1n = 2 + -48 Combine like terms: 48 + -48 = 0 0 + -1n = 2 + -48 -1n = 2 + -48 Combine like terms: 2 + -48 = -46 -1n = -46 Divide each side by '-1'. n = 46 Simplifying n = 46
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