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Simplifying 6 + 10 = 2c + 4 Combine like terms: 6 + 10 = 16 16 = 2c + 4 Reorder the terms: 16 = 4 + 2c Solving 16 = 4 + 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. 16 + -2c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + -2c = 4 + 0 16 + -2c = 4 Add '-16' to each side of the equation. 16 + -16 + -2c = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -2c = 4 + -16 -2c = 4 + -16 Combine like terms: 4 + -16 = -12 -2c = -12 Divide each side by '-2'. c = 6 Simplifying c = 6
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