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Simplifying -8(n + 2) * 18 = 4n + 22 Reorder the terms: -8(2 + n) * 18 = 4n + 22 Reorder the terms for easier multiplication: -8 * 18(2 + n) = 4n + 22 Multiply -8 * 18 -144(2 + n) = 4n + 22 (2 * -144 + n * -144) = 4n + 22 (-288 + -144n) = 4n + 22 Reorder the terms: -288 + -144n = 22 + 4n Solving -288 + -144n = 22 + 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. -288 + -144n + -4n = 22 + 4n + -4n Combine like terms: -144n + -4n = -148n -288 + -148n = 22 + 4n + -4n Combine like terms: 4n + -4n = 0 -288 + -148n = 22 + 0 -288 + -148n = 22 Add '288' to each side of the equation. -288 + 288 + -148n = 22 + 288 Combine like terms: -288 + 288 = 0 0 + -148n = 22 + 288 -148n = 22 + 288 Combine like terms: 22 + 288 = 310 -148n = 310 Divide each side by '-148'. n = -2.094594595 Simplifying n = -2.094594595
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