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Simplifying 3n + 48 = 7 + -2(n + -2) Reorder the terms: 48 + 3n = 7 + -2(n + -2) Reorder the terms: 48 + 3n = 7 + -2(-2 + n) 48 + 3n = 7 + (-2 * -2 + n * -2) 48 + 3n = 7 + (4 + -2n) Combine like terms: 7 + 4 = 11 48 + 3n = 11 + -2n Solving 48 + 3n = 11 + -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 + 3n + 2n = 11 + -2n + 2n Combine like terms: 3n + 2n = 5n 48 + 5n = 11 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + 5n = 11 + 0 48 + 5n = 11 Add '-48' to each side of the equation. 48 + -48 + 5n = 11 + -48 Combine like terms: 48 + -48 = 0 0 + 5n = 11 + -48 5n = 11 + -48 Combine like terms: 11 + -48 = -37 5n = -37 Divide each side by '5'. n = -7.4 Simplifying n = -7.4
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