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Simplifying 3.5(6.2n + -6.9) = -39.45 + 4.7n Reorder the terms: 3.5(-6.9 + 6.2n) = -39.45 + 4.7n (-6.9 * 3.5 + 6.2n * 3.5) = -39.45 + 4.7n (-24.15 + 21.7n) = -39.45 + 4.7n Solving -24.15 + 21.7n = -39.45 + 4.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.7n' to each side of the equation. -24.15 + 21.7n + -4.7n = -39.45 + 4.7n + -4.7n Combine like terms: 21.7n + -4.7n = 17n -24.15 + 17n = -39.45 + 4.7n + -4.7n Combine like terms: 4.7n + -4.7n = 0.0 -24.15 + 17n = -39.45 + 0.0 -24.15 + 17n = -39.45 Add '24.15' to each side of the equation. -24.15 + 24.15 + 17n = -39.45 + 24.15 Combine like terms: -24.15 + 24.15 = 0.00 0.00 + 17n = -39.45 + 24.15 17n = -39.45 + 24.15 Combine like terms: -39.45 + 24.15 = -15.3 17n = -15.3 Divide each side by '17'. n = -0.9 Simplifying n = -0.9
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