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Simplifying -8.816 + -7.9n = 3.3(1 + -3.1n) -8.816 + -7.9n = (1 * 3.3 + -3.1n * 3.3) -8.816 + -7.9n = (3.3 + -10.23n) Solving -8.816 + -7.9n = 3.3 + -10.23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10.23n' to each side of the equation. -8.816 + -7.9n + 10.23n = 3.3 + -10.23n + 10.23n Combine like terms: -7.9n + 10.23n = 2.33n -8.816 + 2.33n = 3.3 + -10.23n + 10.23n Combine like terms: -10.23n + 10.23n = 0.00 -8.816 + 2.33n = 3.3 + 0.00 -8.816 + 2.33n = 3.3 Add '8.816' to each side of the equation. -8.816 + 8.816 + 2.33n = 3.3 + 8.816 Combine like terms: -8.816 + 8.816 = 0.000 0.000 + 2.33n = 3.3 + 8.816 2.33n = 3.3 + 8.816 Combine like terms: 3.3 + 8.816 = 12.116 2.33n = 12.116 Divide each side by '2.33'. n = 5.2 Simplifying n = 5.2
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