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Simplifying 4 + -8n = -5(3n + 9) Reorder the terms: 4 + -8n = -5(9 + 3n) 4 + -8n = (9 * -5 + 3n * -5) 4 + -8n = (-45 + -15n) Solving 4 + -8n = -45 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 4 + -8n + 15n = -45 + -15n + 15n Combine like terms: -8n + 15n = 7n 4 + 7n = -45 + -15n + 15n Combine like terms: -15n + 15n = 0 4 + 7n = -45 + 0 4 + 7n = -45 Add '-4' to each side of the equation. 4 + -4 + 7n = -45 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = -45 + -4 7n = -45 + -4 Combine like terms: -45 + -4 = -49 7n = -49 Divide each side by '7'. n = -7 Simplifying n = -7
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