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Simplifying 2n + 3n + 8 = -43 + 3 + n Reorder the terms: 8 + 2n + 3n = -43 + 3 + n Combine like terms: 2n + 3n = 5n 8 + 5n = -43 + 3 + n Combine like terms: -43 + 3 = -40 8 + 5n = -40 + n Solving 8 + 5n = -40 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 8 + 5n + -1n = -40 + n + -1n Combine like terms: 5n + -1n = 4n 8 + 4n = -40 + n + -1n Combine like terms: n + -1n = 0 8 + 4n = -40 + 0 8 + 4n = -40 Add '-8' to each side of the equation. 8 + -8 + 4n = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = -40 + -8 4n = -40 + -8 Combine like terms: -40 + -8 = -48 4n = -48 Divide each side by '4'. n = -12 Simplifying n = -12
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