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Simplifying 3n + 5 * 2 = 5n + 3 * 3 Multiply 5 * 2 3n + 10 = 5n + 3 * 3 Reorder the terms: 10 + 3n = 5n + 3 * 3 Multiply 3 * 3 10 + 3n = 5n + 9 Reorder the terms: 10 + 3n = 9 + 5n Solving 10 + 3n = 9 + 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. 10 + 3n + -5n = 9 + 5n + -5n Combine like terms: 3n + -5n = -2n 10 + -2n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -2n = 9 + 0 10 + -2n = 9 Add '-10' to each side of the equation. 10 + -10 + -2n = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 9 + -10 -2n = 9 + -10 Combine like terms: 9 + -10 = -1 -2n = -1 Divide each side by '-2'. n = 0.5 Simplifying n = 0.5
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