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Simplifying 4n + 6 + -2n = (n + -13) Reorder the terms: 6 + 4n + -2n = (n + -13) Combine like terms: 4n + -2n = 2n 6 + 2n = (n + -13) Reorder the terms: 6 + 2n = (-13 + n) Remove parenthesis around (-13 + n) 6 + 2n = -13 + n Solving 6 + 2n = -13 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 6 + 2n + -1n = -13 + n + -1n Combine like terms: 2n + -1n = 1n 6 + 1n = -13 + n + -1n Combine like terms: n + -1n = 0 6 + 1n = -13 + 0 6 + 1n = -13 Add '-6' to each side of the equation. 6 + -6 + 1n = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = -13 + -6 1n = -13 + -6 Combine like terms: -13 + -6 = -19 1n = -19 Divide each side by '1'. n = -19 Simplifying n = -19
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