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Simplifying -3n + 6 + 5n = 7n + -24 Reorder the terms: 6 + -3n + 5n = 7n + -24 Combine like terms: -3n + 5n = 2n 6 + 2n = 7n + -24 Reorder the terms: 6 + 2n = -24 + 7n Solving 6 + 2n = -24 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 6 + 2n + -7n = -24 + 7n + -7n Combine like terms: 2n + -7n = -5n 6 + -5n = -24 + 7n + -7n Combine like terms: 7n + -7n = 0 6 + -5n = -24 + 0 6 + -5n = -24 Add '-6' to each side of the equation. 6 + -6 + -5n = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = -24 + -6 -5n = -24 + -6 Combine like terms: -24 + -6 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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