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Simplifying 2n + 2.5 = 4(n + 2) + -2 Reorder the terms: 2.5 + 2n = 4(n + 2) + -2 Reorder the terms: 2.5 + 2n = 4(2 + n) + -2 2.5 + 2n = (2 * 4 + n * 4) + -2 2.5 + 2n = (8 + 4n) + -2 Reorder the terms: 2.5 + 2n = 8 + -2 + 4n Combine like terms: 8 + -2 = 6 2.5 + 2n = 6 + 4n Solving 2.5 + 2n = 6 + 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. 2.5 + 2n + -4n = 6 + 4n + -4n Combine like terms: 2n + -4n = -2n 2.5 + -2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 2.5 + -2n = 6 + 0 2.5 + -2n = 6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2n = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2n = 6 + -2.5 -2n = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 -2n = 3.5 Divide each side by '-2'. n = -1.75 Simplifying n = -1.75
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