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Simplifying -13 = 2(n + -12) + -19 Reorder the terms: -13 = 2(-12 + n) + -19 -13 = (-12 * 2 + n * 2) + -19 -13 = (-24 + 2n) + -19 Reorder the terms: -13 = -24 + -19 + 2n Combine like terms: -24 + -19 = -43 -13 = -43 + 2n Solving -13 = -43 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -13 + -2n = -43 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + -2n = -43 + 0 -13 + -2n = -43 Add '13' to each side of the equation. -13 + 13 + -2n = -43 + 13 Combine like terms: -13 + 13 = 0 0 + -2n = -43 + 13 -2n = -43 + 13 Combine like terms: -43 + 13 = -30 -2n = -30 Divide each side by '-2'. n = 15 Simplifying n = 15
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