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Simplifying -5.1(-1.3n + 0.9) + 0.18(1 + 3.341n) = -0.79431 Reorder the terms: -5.1(0.9 + -1.3n) + 0.18(1 + 3.341n) = -0.79431 (0.9 * -5.1 + -1.3n * -5.1) + 0.18(1 + 3.341n) = -0.79431 (-4.59 + 6.63n) + 0.18(1 + 3.341n) = -0.79431 -4.59 + 6.63n + (1 * 0.18 + 3.341n * 0.18) = -0.79431 -4.59 + 6.63n + (0.18 + 0.60138n) = -0.79431 Reorder the terms: -4.59 + 0.18 + 6.63n + 0.60138n = -0.79431 Combine like terms: -4.59 + 0.18 = -4.41 -4.41 + 6.63n + 0.60138n = -0.79431 Combine like terms: 6.63n + 0.60138n = 7.23138n -4.41 + 7.23138n = -0.79431 Solving -4.41 + 7.23138n = -0.79431 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4.41' to each side of the equation. -4.41 + 4.41 + 7.23138n = -0.79431 + 4.41 Combine like terms: -4.41 + 4.41 = 0.00 0.00 + 7.23138n = -0.79431 + 4.41 7.23138n = -0.79431 + 4.41 Combine like terms: -0.79431 + 4.41 = 3.61569 7.23138n = 3.61569 Divide each side by '7.23138'. n = 0.5 Simplifying n = 0.5
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