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Simplifying 3n + -5(3 + 8n) = -15 + 7n 3n + (3 * -5 + 8n * -5) = -15 + 7n 3n + (-15 + -40n) = -15 + 7n Reorder the terms: -15 + 3n + -40n = -15 + 7n Combine like terms: 3n + -40n = -37n -15 + -37n = -15 + 7n Add '15' to each side of the equation. -15 + 15 + -37n = -15 + 15 + 7n Combine like terms: -15 + 15 = 0 0 + -37n = -15 + 15 + 7n -37n = -15 + 15 + 7n Combine like terms: -15 + 15 = 0 -37n = 0 + 7n -37n = 7n Solving -37n = 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. -37n + -7n = 7n + -7n Combine like terms: -37n + -7n = -44n -44n = 7n + -7n Combine like terms: 7n + -7n = 0 -44n = 0 Divide each side by '-44'. n = 0 Simplifying n = 0
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