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Simplifying 3(n) + -8 = 5(n) + 10 Reorder the terms: -8 + 3n = 5(n) + 10 Reorder the terms: -8 + 3n = 10 + 5n Solving -8 + 3n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 3n + -5n = 10 + 5n + -5n Combine like terms: 3n + -5n = -2n -8 + -2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + -2n = 10 + 0 -8 + -2n = 10 Add '8' to each side of the equation. -8 + 8 + -2n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = 10 + 8 -2n = 10 + 8 Combine like terms: 10 + 8 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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