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Simplifying 0.5(2n + -3) + -0.8 = 2.7 Reorder the terms: 0.5(-3 + 2n) + -0.8 = 2.7 (-3 * 0.5 + 2n * 0.5) + -0.8 = 2.7 (-1.5 + 1n) + -0.8 = 2.7 Reorder the terms: -1.5 + -0.8 + 1n = 2.7 Combine like terms: -1.5 + -0.8 = -2.3 -2.3 + 1n = 2.7 Solving -2.3 + 1n = 2.7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + 1n = 2.7 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 1n = 2.7 + 2.3 1n = 2.7 + 2.3 Combine like terms: 2.7 + 2.3 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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