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Simplifying 5.375n + -30 = 1.875n + -2 Reorder the terms: -30 + 5.375n = 1.875n + -2 Reorder the terms: -30 + 5.375n = -2 + 1.875n Solving -30 + 5.375n = -2 + 1.875n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.875n' to each side of the equation. -30 + 5.375n + -1.875n = -2 + 1.875n + -1.875n Combine like terms: 5.375n + -1.875n = 3.5n -30 + 3.5n = -2 + 1.875n + -1.875n Combine like terms: 1.875n + -1.875n = 0.000 -30 + 3.5n = -2 + 0.000 -30 + 3.5n = -2 Add '30' to each side of the equation. -30 + 30 + 3.5n = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 3.5n = -2 + 30 3.5n = -2 + 30 Combine like terms: -2 + 30 = 28 3.5n = 28 Divide each side by '3.5'. n = 8 Simplifying n = 8
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