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Simplifying 12n + 35 = -1 + 2(12n + -6) Reorder the terms: 35 + 12n = -1 + 2(12n + -6) Reorder the terms: 35 + 12n = -1 + 2(-6 + 12n) 35 + 12n = -1 + (-6 * 2 + 12n * 2) 35 + 12n = -1 + (-12 + 24n) Combine like terms: -1 + -12 = -13 35 + 12n = -13 + 24n Solving 35 + 12n = -13 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 35 + 12n + -24n = -13 + 24n + -24n Combine like terms: 12n + -24n = -12n 35 + -12n = -13 + 24n + -24n Combine like terms: 24n + -24n = 0 35 + -12n = -13 + 0 35 + -12n = -13 Add '-35' to each side of the equation. 35 + -35 + -12n = -13 + -35 Combine like terms: 35 + -35 = 0 0 + -12n = -13 + -35 -12n = -13 + -35 Combine like terms: -13 + -35 = -48 -12n = -48 Divide each side by '-12'. n = 4 Simplifying n = 4
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