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Simplifying -32 = 2c + 6 + -4c + 4 Reorder the terms: -32 = 6 + 4 + 2c + -4c Combine like terms: 6 + 4 = 10 -32 = 10 + 2c + -4c Combine like terms: 2c + -4c = -2c -32 = 10 + -2c Solving -32 = 10 + -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. -32 + 2c = 10 + -2c + 2c Combine like terms: -2c + 2c = 0 -32 + 2c = 10 + 0 -32 + 2c = 10 Add '32' to each side of the equation. -32 + 32 + 2c = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 2c = 10 + 32 2c = 10 + 32 Combine like terms: 10 + 32 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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