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Simplifying 12w + 3c + 2 = 10w + 5c Reorder the terms: 2 + 3c + 12w = 10w + 5c Reorder the terms: 2 + 3c + 12w = 5c + 10w Solving 2 + 3c + 12w = 5c + 10w 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. 2 + 3c + -5c + 12w = 5c + -5c + 10w Combine like terms: 3c + -5c = -2c 2 + -2c + 12w = 5c + -5c + 10w Combine like terms: 5c + -5c = 0 2 + -2c + 12w = 0 + 10w 2 + -2c + 12w = 10w Add '-2' to each side of the equation. 2 + -2c + -2 + 12w = -2 + 10w Reorder the terms: 2 + -2 + -2c + 12w = -2 + 10w Combine like terms: 2 + -2 = 0 0 + -2c + 12w = -2 + 10w -2c + 12w = -2 + 10w Add '-12w' to each side of the equation. -2c + 12w + -12w = -2 + 10w + -12w Combine like terms: 12w + -12w = 0 -2c + 0 = -2 + 10w + -12w -2c = -2 + 10w + -12w Combine like terms: 10w + -12w = -2w -2c = -2 + -2w Divide each side by '-2'. c = 1 + w Simplifying c = 1 + w
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