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Simplifying 5 + 5n = 6n + 3(n + -5) Reorder the terms: 5 + 5n = 6n + 3(-5 + n) 5 + 5n = 6n + (-5 * 3 + n * 3) 5 + 5n = 6n + (-15 + 3n) Reorder the terms: 5 + 5n = -15 + 6n + 3n Combine like terms: 6n + 3n = 9n 5 + 5n = -15 + 9n Solving 5 + 5n = -15 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 5 + 5n + -9n = -15 + 9n + -9n Combine like terms: 5n + -9n = -4n 5 + -4n = -15 + 9n + -9n Combine like terms: 9n + -9n = 0 5 + -4n = -15 + 0 5 + -4n = -15 Add '-5' to each side of the equation. 5 + -5 + -4n = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = -15 + -5 -4n = -15 + -5 Combine like terms: -15 + -5 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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