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Simplifying 0.75n + 4.5 = 4n + 11 Reorder the terms: 4.5 + 0.75n = 4n + 11 Reorder the terms: 4.5 + 0.75n = 11 + 4n Solving 4.5 + 0.75n = 11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 4.5 + 0.75n + -4n = 11 + 4n + -4n Combine like terms: 0.75n + -4n = -3.25n 4.5 + -3.25n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 4.5 + -3.25n = 11 + 0 4.5 + -3.25n = 11 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -3.25n = 11 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -3.25n = 11 + -4.5 -3.25n = 11 + -4.5 Combine like terms: 11 + -4.5 = 6.5 -3.25n = 6.5 Divide each side by '-3.25'. n = -2 Simplifying n = -2
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