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Simplifying 8(4 + 5n) + -2n = 222 (4 * 8 + 5n * 8) + -2n = 222 (32 + 40n) + -2n = 222 Combine like terms: 40n + -2n = 38n 32 + 38n = 222 Solving 32 + 38n = 222 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 38n = 222 + -32 Combine like terms: 32 + -32 = 0 0 + 38n = 222 + -32 38n = 222 + -32 Combine like terms: 222 + -32 = 190 38n = 190 Divide each side by '38'. n = 5 Simplifying n = 5
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