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Simplifying 5(-1n + -7) = 4(4n + 1) + -8n Reorder the terms: 5(-7 + -1n) = 4(4n + 1) + -8n (-7 * 5 + -1n * 5) = 4(4n + 1) + -8n (-35 + -5n) = 4(4n + 1) + -8n Reorder the terms: -35 + -5n = 4(1 + 4n) + -8n -35 + -5n = (1 * 4 + 4n * 4) + -8n -35 + -5n = (4 + 16n) + -8n Combine like terms: 16n + -8n = 8n -35 + -5n = 4 + 8n Solving -35 + -5n = 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. -35 + -5n + -8n = 4 + 8n + -8n Combine like terms: -5n + -8n = -13n -35 + -13n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 -35 + -13n = 4 + 0 -35 + -13n = 4 Add '35' to each side of the equation. -35 + 35 + -13n = 4 + 35 Combine like terms: -35 + 35 = 0 0 + -13n = 4 + 35 -13n = 4 + 35 Combine like terms: 4 + 35 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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