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Simplifying 2c + -10 = 3c + 12 Reorder the terms: -10 + 2c = 3c + 12 Reorder the terms: -10 + 2c = 12 + 3c Solving -10 + 2c = 12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -10 + 2c + -3c = 12 + 3c + -3c Combine like terms: 2c + -3c = -1c -10 + -1c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + -1c = 12 + 0 -10 + -1c = 12 Add '10' to each side of the equation. -10 + 10 + -1c = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = 12 + 10 -1c = 12 + 10 Combine like terms: 12 + 10 = 22 -1c = 22 Divide each side by '-1'. c = -22 Simplifying c = -22
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