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Simplifying -13 + 3n = 4n + -7(n + -5) Reorder the terms: -13 + 3n = 4n + -7(-5 + n) -13 + 3n = 4n + (-5 * -7 + n * -7) -13 + 3n = 4n + (35 + -7n) Reorder the terms: -13 + 3n = 35 + 4n + -7n Combine like terms: 4n + -7n = -3n -13 + 3n = 35 + -3n Solving -13 + 3n = 35 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -13 + 3n + 3n = 35 + -3n + 3n Combine like terms: 3n + 3n = 6n -13 + 6n = 35 + -3n + 3n Combine like terms: -3n + 3n = 0 -13 + 6n = 35 + 0 -13 + 6n = 35 Add '13' to each side of the equation. -13 + 13 + 6n = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 6n = 35 + 13 6n = 35 + 13 Combine like terms: 35 + 13 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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