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Simplifying 7(-3 + -4n) + 1 = 4 + -8n (-3 * 7 + -4n * 7) + 1 = 4 + -8n (-21 + -28n) + 1 = 4 + -8n Reorder the terms: -21 + 1 + -28n = 4 + -8n Combine like terms: -21 + 1 = -20 -20 + -28n = 4 + -8n Solving -20 + -28n = 4 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -20 + -28n + 8n = 4 + -8n + 8n Combine like terms: -28n + 8n = -20n -20 + -20n = 4 + -8n + 8n Combine like terms: -8n + 8n = 0 -20 + -20n = 4 + 0 -20 + -20n = 4 Add '20' to each side of the equation. -20 + 20 + -20n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -20n = 4 + 20 -20n = 4 + 20 Combine like terms: 4 + 20 = 24 -20n = 24 Divide each side by '-20'. n = -1.2 Simplifying n = -1.2
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