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Simplifying n + 48 = 3n + -100 Reorder the terms: 48 + n = 3n + -100 Reorder the terms: 48 + n = -100 + 3n Solving 48 + n = -100 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 48 + n + -3n = -100 + 3n + -3n Combine like terms: n + -3n = -2n 48 + -2n = -100 + 3n + -3n Combine like terms: 3n + -3n = 0 48 + -2n = -100 + 0 48 + -2n = -100 Add '-48' to each side of the equation. 48 + -48 + -2n = -100 + -48 Combine like terms: 48 + -48 = 0 0 + -2n = -100 + -48 -2n = -100 + -48 Combine like terms: -100 + -48 = -148 -2n = -148 Divide each side by '-2'. n = 74 Simplifying n = 74
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