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Simplifying 0.5n + -1.5 = 2.7n + 2.9 Reorder the terms: -1.5 + 0.5n = 2.7n + 2.9 Reorder the terms: -1.5 + 0.5n = 2.9 + 2.7n Solving -1.5 + 0.5n = 2.9 + 2.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.7n' to each side of the equation. -1.5 + 0.5n + -2.7n = 2.9 + 2.7n + -2.7n Combine like terms: 0.5n + -2.7n = -2.2n -1.5 + -2.2n = 2.9 + 2.7n + -2.7n Combine like terms: 2.7n + -2.7n = 0.0 -1.5 + -2.2n = 2.9 + 0.0 -1.5 + -2.2n = 2.9 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2.2n = 2.9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.2n = 2.9 + 1.5 -2.2n = 2.9 + 1.5 Combine like terms: 2.9 + 1.5 = 4.4 -2.2n = 4.4 Divide each side by '-2.2'. n = -2 Simplifying n = -2
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