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Simplifying 4n + 13 = -5 + 6(n + 3) Reorder the terms: 13 + 4n = -5 + 6(n + 3) Reorder the terms: 13 + 4n = -5 + 6(3 + n) 13 + 4n = -5 + (3 * 6 + n * 6) 13 + 4n = -5 + (18 + 6n) Combine like terms: -5 + 18 = 13 13 + 4n = 13 + 6n Add '-13' to each side of the equation. 13 + -13 + 4n = 13 + -13 + 6n Combine like terms: 13 + -13 = 0 0 + 4n = 13 + -13 + 6n 4n = 13 + -13 + 6n Combine like terms: 13 + -13 = 0 4n = 0 + 6n 4n = 6n Solving 4n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 4n + -6n = 6n + -6n Combine like terms: 4n + -6n = -2n -2n = 6n + -6n Combine like terms: 6n + -6n = 0 -2n = 0 Divide each side by '-2'. n = 0 Simplifying n = 0
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