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