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Simplifying 2.8(c + -5) + 5 = 2c + 3 Reorder the terms: 2.8(-5 + c) + 5 = 2c + 3 (-5 * 2.8 + c * 2.8) + 5 = 2c + 3 (-14 + 2.8c) + 5 = 2c + 3 Reorder the terms: -14 + 5 + 2.8c = 2c + 3 Combine like terms: -14 + 5 = -9 -9 + 2.8c = 2c + 3 Reorder the terms: -9 + 2.8c = 3 + 2c Solving -9 + 2.8c = 3 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -9 + 2.8c + -2c = 3 + 2c + -2c Combine like terms: 2.8c + -2c = 0.8c -9 + 0.8c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -9 + 0.8c = 3 + 0 -9 + 0.8c = 3 Add '9' to each side of the equation. -9 + 9 + 0.8c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 0.8c = 3 + 9 0.8c = 3 + 9 Combine like terms: 3 + 9 = 12 0.8c = 12 Divide each side by '0.8'. c = 15 Simplifying c = 15
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