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Simplifying 3(4n + 5) = -7m + -23 Reorder the terms: 3(5 + 4n) = -7m + -23 (5 * 3 + 4n * 3) = -7m + -23 (15 + 12n) = -7m + -23 Reorder the terms: 15 + 12n = -23 + -7m Solving 15 + 12n = -23 + -7m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 12n = -23 + -15 + -7m Combine like terms: 15 + -15 = 0 0 + 12n = -23 + -15 + -7m 12n = -23 + -15 + -7m Combine like terms: -23 + -15 = -38 12n = -38 + -7m Divide each side by '12'. n = -3.166666667 + -0.5833333333m Simplifying n = -3.166666667 + -0.5833333333m
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