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Simplifying 23 = -6(-2n + 5) + -7 Reorder the terms: 23 = -6(5 + -2n) + -7 23 = (5 * -6 + -2n * -6) + -7 23 = (-30 + 12n) + -7 Reorder the terms: 23 = -30 + -7 + 12n Combine like terms: -30 + -7 = -37 23 = -37 + 12n Solving 23 = -37 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 23 + -12n = -37 + 12n + -12n Combine like terms: 12n + -12n = 0 23 + -12n = -37 + 0 23 + -12n = -37 Add '-23' to each side of the equation. 23 + -23 + -12n = -37 + -23 Combine like terms: 23 + -23 = 0 0 + -12n = -37 + -23 -12n = -37 + -23 Combine like terms: -37 + -23 = -60 -12n = -60 Divide each side by '-12'. n = 5 Simplifying n = 5
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