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Simplifying -49 + n = 4n + -8(n + 8) Reorder the terms: -49 + n = 4n + -8(8 + n) -49 + n = 4n + (8 * -8 + n * -8) -49 + n = 4n + (-64 + -8n) Reorder the terms: -49 + n = -64 + 4n + -8n Combine like terms: 4n + -8n = -4n -49 + n = -64 + -4n Solving -49 + n = -64 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -49 + n + 4n = -64 + -4n + 4n Combine like terms: n + 4n = 5n -49 + 5n = -64 + -4n + 4n Combine like terms: -4n + 4n = 0 -49 + 5n = -64 + 0 -49 + 5n = -64 Add '49' to each side of the equation. -49 + 49 + 5n = -64 + 49 Combine like terms: -49 + 49 = 0 0 + 5n = -64 + 49 5n = -64 + 49 Combine like terms: -64 + 49 = -15 5n = -15 Divide each side by '5'. n = -3 Simplifying n = -3
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