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Simplifying 3c + -4 + 1 = 5c + 2 + 3 Reorder the terms: -4 + 1 + 3c = 5c + 2 + 3 Combine like terms: -4 + 1 = -3 -3 + 3c = 5c + 2 + 3 Reorder the terms: -3 + 3c = 2 + 3 + 5c Combine like terms: 2 + 3 = 5 -3 + 3c = 5 + 5c Solving -3 + 3c = 5 + 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. -3 + 3c + -5c = 5 + 5c + -5c Combine like terms: 3c + -5c = -2c -3 + -2c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 -3 + -2c = 5 + 0 -3 + -2c = 5 Add '3' to each side of the equation. -3 + 3 + -2c = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2c = 5 + 3 -2c = 5 + 3 Combine like terms: 5 + 3 = 8 -2c = 8 Divide each side by '-2'. c = -4 Simplifying c = -4
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