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Simplifying 12 + 9n = 8 + -4n Solving 12 + 9n = 8 + -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. 12 + 9n + 4n = 8 + -4n + 4n Combine like terms: 9n + 4n = 13n 12 + 13n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 13n = 8 + 0 12 + 13n = 8 Add '-12' to each side of the equation. 12 + -12 + 13n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 13n = 8 + -12 13n = 8 + -12 Combine like terms: 8 + -12 = -4 13n = -4 Divide each side by '13'. n = -0.3076923077 Simplifying n = -0.3076923077
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