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Simplifying 4c + 12 = 6c + 10 Reorder the terms: 12 + 4c = 6c + 10 Reorder the terms: 12 + 4c = 10 + 6c Solving 12 + 4c = 10 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 12 + 4c + -6c = 10 + 6c + -6c Combine like terms: 4c + -6c = -2c 12 + -2c = 10 + 6c + -6c Combine like terms: 6c + -6c = 0 12 + -2c = 10 + 0 12 + -2c = 10 Add '-12' to each side of the equation. 12 + -12 + -2c = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 10 + -12 -2c = 10 + -12 Combine like terms: 10 + -12 = -2 -2c = -2 Divide each side by '-2'. c = 1 Simplifying c = 1
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