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Simplifying 78 + n = 3n + -40 Reorder the terms: 78 + n = -40 + 3n Solving 78 + n = -40 + 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. 78 + n + -3n = -40 + 3n + -3n Combine like terms: n + -3n = -2n 78 + -2n = -40 + 3n + -3n Combine like terms: 3n + -3n = 0 78 + -2n = -40 + 0 78 + -2n = -40 Add '-78' to each side of the equation. 78 + -78 + -2n = -40 + -78 Combine like terms: 78 + -78 = 0 0 + -2n = -40 + -78 -2n = -40 + -78 Combine like terms: -40 + -78 = -118 -2n = -118 Divide each side by '-2'. n = 59 Simplifying n = 59
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