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Simplifying -8(n + 1) = -4(11 + n) Reorder the terms: -8(1 + n) = -4(11 + n) (1 * -8 + n * -8) = -4(11 + n) (-8 + -8n) = -4(11 + n) -8 + -8n = (11 * -4 + n * -4) -8 + -8n = (-44 + -4n) Solving -8 + -8n = -44 + -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. -8 + -8n + 4n = -44 + -4n + 4n Combine like terms: -8n + 4n = -4n -8 + -4n = -44 + -4n + 4n Combine like terms: -4n + 4n = 0 -8 + -4n = -44 + 0 -8 + -4n = -44 Add '8' to each side of the equation. -8 + 8 + -4n = -44 + 8 Combine like terms: -8 + 8 = 0 0 + -4n = -44 + 8 -4n = -44 + 8 Combine like terms: -44 + 8 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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