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Simplifying 3c + -4c + 1 = 5c + 2c + 3 Reorder the terms: 1 + 3c + -4c = 5c + 2c + 3 Combine like terms: 3c + -4c = -1c 1 + -1c = 5c + 2c + 3 Reorder the terms: 1 + -1c = 3 + 5c + 2c Combine like terms: 5c + 2c = 7c 1 + -1c = 3 + 7c Solving 1 + -1c = 3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 1 + -1c + -7c = 3 + 7c + -7c Combine like terms: -1c + -7c = -8c 1 + -8c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 1 + -8c = 3 + 0 1 + -8c = 3 Add '-1' to each side of the equation. 1 + -1 + -8c = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -8c = 3 + -1 -8c = 3 + -1 Combine like terms: 3 + -1 = 2 -8c = 2 Divide each side by '-8'. c = -0.25 Simplifying c = -0.25
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