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Simplifying 4c + -10 + 2c = -4 + 4c + 12 Reorder the terms: -10 + 4c + 2c = -4 + 4c + 12 Combine like terms: 4c + 2c = 6c -10 + 6c = -4 + 4c + 12 Reorder the terms: -10 + 6c = -4 + 12 + 4c Combine like terms: -4 + 12 = 8 -10 + 6c = 8 + 4c Solving -10 + 6c = 8 + 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. -10 + 6c + -4c = 8 + 4c + -4c Combine like terms: 6c + -4c = 2c -10 + 2c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 -10 + 2c = 8 + 0 -10 + 2c = 8 Add '10' to each side of the equation. -10 + 10 + 2c = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 8 + 10 2c = 8 + 10 Combine like terms: 8 + 10 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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