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Simplifying -8(6 + 6n) + 6n = 204 (6 * -8 + 6n * -8) + 6n = 204 (-48 + -48n) + 6n = 204 Combine like terms: -48n + 6n = -42n -48 + -42n = 204 Solving -48 + -42n = 204 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -42n = 204 + 48 Combine like terms: -48 + 48 = 0 0 + -42n = 204 + 48 -42n = 204 + 48 Combine like terms: 204 + 48 = 252 -42n = 252 Divide each side by '-42'. n = -6 Simplifying n = -6
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