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Simplifying 3c + 12 = 5c + 10.16 Reorder the terms: 12 + 3c = 5c + 10.16 Reorder the terms: 12 + 3c = 10.16 + 5c Solving 12 + 3c = 10.16 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 12 + 3c + -5c = 10.16 + 5c + -5c Combine like terms: 3c + -5c = -2c 12 + -2c = 10.16 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + -2c = 10.16 + 0 12 + -2c = 10.16 Add '-12' to each side of the equation. 12 + -12 + -2c = 10.16 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 10.16 + -12 -2c = 10.16 + -12 Combine like terms: 10.16 + -12 = -1.84 -2c = -1.84 Divide each side by '-2'. c = 0.92 Simplifying c = 0.92
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