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Simplifying 2c + 6 = 5c + -7 Reorder the terms: 6 + 2c = 5c + -7 Reorder the terms: 6 + 2c = -7 + 5c Solving 6 + 2c = -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. 6 + 2c + -5c = -7 + 5c + -5c Combine like terms: 2c + -5c = -3c 6 + -3c = -7 + 5c + -5c Combine like terms: 5c + -5c = 0 6 + -3c = -7 + 0 6 + -3c = -7 Add '-6' to each side of the equation. 6 + -6 + -3c = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -3c = -7 + -6 -3c = -7 + -6 Combine like terms: -7 + -6 = -13 -3c = -13 Divide each side by '-3'. c = 4.333333333 Simplifying c = 4.333333333
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