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Simplifying 3 + -1(n + -1) = 0.5(3n + -4) Reorder the terms: 3 + -1(-1 + n) = 0.5(3n + -4) 3 + (-1 * -1 + n * -1) = 0.5(3n + -4) 3 + (1 + -1n) = 0.5(3n + -4) Combine like terms: 3 + 1 = 4 4 + -1n = 0.5(3n + -4) Reorder the terms: 4 + -1n = 0.5(-4 + 3n) 4 + -1n = (-4 * 0.5 + 3n * 0.5) 4 + -1n = (-2 + 1.5n) Solving 4 + -1n = -2 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. 4 + -1n + -1.5n = -2 + 1.5n + -1.5n Combine like terms: -1n + -1.5n = -2.5n 4 + -2.5n = -2 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 4 + -2.5n = -2 + 0.0 4 + -2.5n = -2 Add '-4' to each side of the equation. 4 + -4 + -2.5n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5n = -2 + -4 -2.5n = -2 + -4 Combine like terms: -2 + -4 = -6 -2.5n = -6 Divide each side by '-2.5'. n = 2.4 Simplifying n = 2.4
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