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Simplifying 3n + 7 = 4.5n + -8 Reorder the terms: 7 + 3n = 4.5n + -8 Reorder the terms: 7 + 3n = -8 + 4.5n Solving 7 + 3n = -8 + 4.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.5n' to each side of the equation. 7 + 3n + -4.5n = -8 + 4.5n + -4.5n Combine like terms: 3n + -4.5n = -1.5n 7 + -1.5n = -8 + 4.5n + -4.5n Combine like terms: 4.5n + -4.5n = 0.0 7 + -1.5n = -8 + 0.0 7 + -1.5n = -8 Add '-7' to each side of the equation. 7 + -7 + -1.5n = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1.5n = -8 + -7 -1.5n = -8 + -7 Combine like terms: -8 + -7 = -15 -1.5n = -15 Divide each side by '-1.5'. n = 10 Simplifying n = 10
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