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Simplifying 7.5n + -4(-3 + -6.4n) = 37.1n 7.5n + (-3 * -4 + -6.4n * -4) = 37.1n 7.5n + (12 + 25.6n) = 37.1n Reorder the terms: 12 + 7.5n + 25.6n = 37.1n Combine like terms: 7.5n + 25.6n = 33.1n 12 + 33.1n = 37.1n Solving 12 + 33.1n = 37.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37.1n' to each side of the equation. 12 + 33.1n + -37.1n = 37.1n + -37.1n Combine like terms: 33.1n + -37.1n = -4n 12 + -4n = 37.1n + -37.1n Combine like terms: 37.1n + -37.1n = 0.0 12 + -4n = 0.0 Add '-12' to each side of the equation. 12 + -12 + -4n = 0.0 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 0.0 + -12 -4n = 0.0 + -12 Combine like terms: 0.0 + -12 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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