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Simplifying -5 + 7 + 2n + -3n = n + -8 Combine like terms: -5 + 7 = 2 2 + 2n + -3n = n + -8 Combine like terms: 2n + -3n = -1n 2 + -1n = n + -8 Reorder the terms: 2 + -1n = -8 + n Solving 2 + -1n = -8 + 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. 2 + -1n + -1n = -8 + n + -1n Combine like terms: -1n + -1n = -2n 2 + -2n = -8 + n + -1n Combine like terms: n + -1n = 0 2 + -2n = -8 + 0 2 + -2n = -8 Add '-2' to each side of the equation. 2 + -2 + -2n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -8 + -2 -2n = -8 + -2 Combine like terms: -8 + -2 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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