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Simplifying 5n + -10 = 2n + 32 Reorder the terms: -10 + 5n = 2n + 32 Reorder the terms: -10 + 5n = 32 + 2n Solving -10 + 5n = 32 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -10 + 5n + -2n = 32 + 2n + -2n Combine like terms: 5n + -2n = 3n -10 + 3n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 3n = 32 + 0 -10 + 3n = 32 Add '10' to each side of the equation. -10 + 10 + 3n = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 32 + 10 3n = 32 + 10 Combine like terms: 32 + 10 = 42 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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