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Simplifying 3c + -1 = 5c + 7 Reorder the terms: -1 + 3c = 5c + 7 Reorder the terms: -1 + 3c = 7 + 5c Solving -1 + 3c = 7 + 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. -1 + 3c + -5c = 7 + 5c + -5c Combine like terms: 3c + -5c = -2c -1 + -2c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -1 + -2c = 7 + 0 -1 + -2c = 7 Add '1' to each side of the equation. -1 + 1 + -2c = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -2c = 7 + 1 -2c = 7 + 1 Combine like terms: 7 + 1 = 8 -2c = 8 Divide each side by '-2'. c = -4 Simplifying c = -4
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