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Simplifying 4c + 10 + -2c = 6c + 18 + -16 Reorder the terms: 10 + 4c + -2c = 6c + 18 + -16 Combine like terms: 4c + -2c = 2c 10 + 2c = 6c + 18 + -16 Reorder the terms: 10 + 2c = 18 + -16 + 6c Combine like terms: 18 + -16 = 2 10 + 2c = 2 + 6c Solving 10 + 2c = 2 + 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. 10 + 2c + -6c = 2 + 6c + -6c Combine like terms: 2c + -6c = -4c 10 + -4c = 2 + 6c + -6c Combine like terms: 6c + -6c = 0 10 + -4c = 2 + 0 10 + -4c = 2 Add '-10' to each side of the equation. 10 + -10 + -4c = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4c = 2 + -10 -4c = 2 + -10 Combine like terms: 2 + -10 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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