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Simplifying 5(-2n + 1) + 3n = -23 Reorder the terms: 5(1 + -2n) + 3n = -23 (1 * 5 + -2n * 5) + 3n = -23 (5 + -10n) + 3n = -23 Combine like terms: -10n + 3n = -7n 5 + -7n = -23 Solving 5 + -7n = -23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7n = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -7n = -23 + -5 -7n = -23 + -5 Combine like terms: -23 + -5 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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