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Simplifying -3.19n + 5.3(-5.9n + -7.9) = -293.438 Reorder the terms: -3.19n + 5.3(-7.9 + -5.9n) = -293.438 -3.19n + (-7.9 * 5.3 + -5.9n * 5.3) = -293.438 -3.19n + (-41.87 + -31.27n) = -293.438 Reorder the terms: -41.87 + -3.19n + -31.27n = -293.438 Combine like terms: -3.19n + -31.27n = -34.46n -41.87 + -34.46n = -293.438 Solving -41.87 + -34.46n = -293.438 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41.87' to each side of the equation. -41.87 + 41.87 + -34.46n = -293.438 + 41.87 Combine like terms: -41.87 + 41.87 = 0.00 0.00 + -34.46n = -293.438 + 41.87 -34.46n = -293.438 + 41.87 Combine like terms: -293.438 + 41.87 = -251.568 -34.46n = -251.568 Divide each side by '-34.46'. n = 7.300290192 Simplifying n = 7.300290192
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