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Simplifying 4c + -8 + -2c + 1 = 12c + 3 Reorder the terms: -8 + 1 + 4c + -2c = 12c + 3 Combine like terms: -8 + 1 = -7 -7 + 4c + -2c = 12c + 3 Combine like terms: 4c + -2c = 2c -7 + 2c = 12c + 3 Reorder the terms: -7 + 2c = 3 + 12c Solving -7 + 2c = 3 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -7 + 2c + -12c = 3 + 12c + -12c Combine like terms: 2c + -12c = -10c -7 + -10c = 3 + 12c + -12c Combine like terms: 12c + -12c = 0 -7 + -10c = 3 + 0 -7 + -10c = 3 Add '7' to each side of the equation. -7 + 7 + -10c = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -10c = 3 + 7 -10c = 3 + 7 Combine like terms: 3 + 7 = 10 -10c = 10 Divide each side by '-10'. c = -1 Simplifying c = -1
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