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Simplifying 4 + 7n = -1n + -4(-5 + -4n) 4 + 7n = -1n + (-5 * -4 + -4n * -4) 4 + 7n = -1n + (20 + 16n) Reorder the terms: 4 + 7n = 20 + -1n + 16n Combine like terms: -1n + 16n = 15n 4 + 7n = 20 + 15n Solving 4 + 7n = 20 + 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 + 7n + -15n = 20 + 15n + -15n Combine like terms: 7n + -15n = -8n 4 + -8n = 20 + 15n + -15n Combine like terms: 15n + -15n = 0 4 + -8n = 20 + 0 4 + -8n = 20 Add '-4' to each side of the equation. 4 + -4 + -8n = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = 20 + -4 -8n = 20 + -4 Combine like terms: 20 + -4 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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