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Simplifying 4n + -4 = 5n + -5 + 8n + -8 Reorder the terms: -4 + 4n = 5n + -5 + 8n + -8 Reorder the terms: -4 + 4n = -5 + -8 + 5n + 8n Combine like terms: -5 + -8 = -13 -4 + 4n = -13 + 5n + 8n Combine like terms: 5n + 8n = 13n -4 + 4n = -13 + 13n Solving -4 + 4n = -13 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -4 + 4n + -13n = -13 + 13n + -13n Combine like terms: 4n + -13n = -9n -4 + -9n = -13 + 13n + -13n Combine like terms: 13n + -13n = 0 -4 + -9n = -13 + 0 -4 + -9n = -13 Add '4' to each side of the equation. -4 + 4 + -9n = -13 + 4 Combine like terms: -4 + 4 = 0 0 + -9n = -13 + 4 -9n = -13 + 4 Combine like terms: -13 + 4 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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