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Simplifying 3n + 5 = -8 + 6 + 4n Reorder the terms: 5 + 3n = -8 + 6 + 4n Combine like terms: -8 + 6 = -2 5 + 3n = -2 + 4n Solving 5 + 3n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 3n + -4n = -2 + 4n + -4n Combine like terms: 3n + -4n = -1n 5 + -1n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -1n = -2 + 0 5 + -1n = -2 Add '-5' to each side of the equation. 5 + -5 + -1n = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -2 + -5 -1n = -2 + -5 Combine like terms: -2 + -5 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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