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Simplifying 3c + -2(c + 2) = 13 + -2(2c + -5) Reorder the terms: 3c + -2(2 + c) = 13 + -2(2c + -5) 3c + (2 * -2 + c * -2) = 13 + -2(2c + -5) 3c + (-4 + -2c) = 13 + -2(2c + -5) Reorder the terms: -4 + 3c + -2c = 13 + -2(2c + -5) Combine like terms: 3c + -2c = 1c -4 + 1c = 13 + -2(2c + -5) Reorder the terms: -4 + 1c = 13 + -2(-5 + 2c) -4 + 1c = 13 + (-5 * -2 + 2c * -2) -4 + 1c = 13 + (10 + -4c) Combine like terms: 13 + 10 = 23 -4 + 1c = 23 + -4c Solving -4 + 1c = 23 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -4 + 1c + 4c = 23 + -4c + 4c Combine like terms: 1c + 4c = 5c -4 + 5c = 23 + -4c + 4c Combine like terms: -4c + 4c = 0 -4 + 5c = 23 + 0 -4 + 5c = 23 Add '4' to each side of the equation. -4 + 4 + 5c = 23 + 4 Combine like terms: -4 + 4 = 0 0 + 5c = 23 + 4 5c = 23 + 4 Combine like terms: 23 + 4 = 27 5c = 27 Divide each side by '5'. c = 5.4 Simplifying c = 5.4
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