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Simplifying (5c + 12) = (2c + -7) Reorder the terms: (12 + 5c) = (2c + -7) Remove parenthesis around (12 + 5c) 12 + 5c = (2c + -7) Reorder the terms: 12 + 5c = (-7 + 2c) Remove parenthesis around (-7 + 2c) 12 + 5c = -7 + 2c Solving 12 + 5c = -7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 12 + 5c + -2c = -7 + 2c + -2c Combine like terms: 5c + -2c = 3c 12 + 3c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 3c = -7 + 0 12 + 3c = -7 Add '-12' to each side of the equation. 12 + -12 + 3c = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 3c = -7 + -12 3c = -7 + -12 Combine like terms: -7 + -12 = -19 3c = -19 Divide each side by '3'. c = -6.333333333 Simplifying c = -6.333333333
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