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Simplifying -5n + 2n + 13 = -7(n + -3) Reorder the terms: 13 + -5n + 2n = -7(n + -3) Combine like terms: -5n + 2n = -3n 13 + -3n = -7(n + -3) Reorder the terms: 13 + -3n = -7(-3 + n) 13 + -3n = (-3 * -7 + n * -7) 13 + -3n = (21 + -7n) Solving 13 + -3n = 21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 13 + -3n + 7n = 21 + -7n + 7n Combine like terms: -3n + 7n = 4n 13 + 4n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 13 + 4n = 21 + 0 13 + 4n = 21 Add '-13' to each side of the equation. 13 + -13 + 4n = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 4n = 21 + -13 4n = 21 + -13 Combine like terms: 21 + -13 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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