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Simplifying 2.55(c + 2) + -2.5 = 12.8 Reorder the terms: 2.55(2 + c) + -2.5 = 12.8 (2 * 2.55 + c * 2.55) + -2.5 = 12.8 (5.1 + 2.55c) + -2.5 = 12.8 Reorder the terms: 5.1 + -2.5 + 2.55c = 12.8 Combine like terms: 5.1 + -2.5 = 2.6 2.6 + 2.55c = 12.8 Solving 2.6 + 2.55c = 12.8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + 2.55c = 12.8 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 2.55c = 12.8 + -2.6 2.55c = 12.8 + -2.6 Combine like terms: 12.8 + -2.6 = 10.2 2.55c = 10.2 Divide each side by '2.55'. c = 4 Simplifying c = 4
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