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Simplifying 3.2 + -8.4n = 45.2 + 2.1n Solving 3.2 + -8.4n = 45.2 + 2.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.1n' to each side of the equation. 3.2 + -8.4n + -2.1n = 45.2 + 2.1n + -2.1n Combine like terms: -8.4n + -2.1n = -10.5n 3.2 + -10.5n = 45.2 + 2.1n + -2.1n Combine like terms: 2.1n + -2.1n = 0.0 3.2 + -10.5n = 45.2 + 0.0 3.2 + -10.5n = 45.2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -10.5n = 45.2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -10.5n = 45.2 + -3.2 -10.5n = 45.2 + -3.2 Combine like terms: 45.2 + -3.2 = 42 -10.5n = 42 Divide each side by '-10.5'. n = -4 Simplifying n = -4
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