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Simplifying 5 + -3n + 5 = 2n + -10 Reorder the terms: 5 + 5 + -3n = 2n + -10 Combine like terms: 5 + 5 = 10 10 + -3n = 2n + -10 Reorder the terms: 10 + -3n = -10 + 2n Solving 10 + -3n = -10 + 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 + -3n + -2n = -10 + 2n + -2n Combine like terms: -3n + -2n = -5n 10 + -5n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + -5n = -10 + 0 10 + -5n = -10 Add '-10' to each side of the equation. 10 + -10 + -5n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5n = -10 + -10 -5n = -10 + -10 Combine like terms: -10 + -10 = -20 -5n = -20 Divide each side by '-5'. n = 4 Simplifying n = 4
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