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Simplifying 3n + -7 = 5n + 10 Reorder the terms: -7 + 3n = 5n + 10 Reorder the terms: -7 + 3n = 10 + 5n Solving -7 + 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. -7 + 3n + -5n = 10 + 5n + -5n Combine like terms: 3n + -5n = -2n -7 + -2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + -2n = 10 + 0 -7 + -2n = 10 Add '7' to each side of the equation. -7 + 7 + -2n = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 10 + 7 -2n = 10 + 7 Combine like terms: 10 + 7 = 17 -2n = 17 Divide each side by '-2'. n = -8.5 Simplifying n = -8.5
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