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Simplifying 2(3n + -4) = 0.5(10 + -1n) Reorder the terms: 2(-4 + 3n) = 0.5(10 + -1n) (-4 * 2 + 3n * 2) = 0.5(10 + -1n) (-8 + 6n) = 0.5(10 + -1n) -8 + 6n = (10 * 0.5 + -1n * 0.5) -8 + 6n = (5 + -0.5n) Solving -8 + 6n = 5 + -0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5n' to each side of the equation. -8 + 6n + 0.5n = 5 + -0.5n + 0.5n Combine like terms: 6n + 0.5n = 6.5n -8 + 6.5n = 5 + -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 -8 + 6.5n = 5 + 0.0 -8 + 6.5n = 5 Add '8' to each side of the equation. -8 + 8 + 6.5n = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 6.5n = 5 + 8 6.5n = 5 + 8 Combine like terms: 5 + 8 = 13 6.5n = 13 Divide each side by '6.5'. n = 2 Simplifying n = 2
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