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Simplifying 1.5n + -0.75 = 4n + 1 Reorder the terms: -0.75 + 1.5n = 4n + 1 Reorder the terms: -0.75 + 1.5n = 1 + 4n Solving -0.75 + 1.5n = 1 + 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. -0.75 + 1.5n + -4n = 1 + 4n + -4n Combine like terms: 1.5n + -4n = -2.5n -0.75 + -2.5n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -0.75 + -2.5n = 1 + 0 -0.75 + -2.5n = 1 Add '0.75' to each side of the equation. -0.75 + 0.75 + -2.5n = 1 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -2.5n = 1 + 0.75 -2.5n = 1 + 0.75 Combine like terms: 1 + 0.75 = 1.75 -2.5n = 1.75 Divide each side by '-2.5'. n = -0.7 Simplifying n = -0.7
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