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Simplifying 7c + 12c + -10 = 9c + 12c + -15 Reorder the terms: -10 + 7c + 12c = 9c + 12c + -15 Combine like terms: 7c + 12c = 19c -10 + 19c = 9c + 12c + -15 Reorder the terms: -10 + 19c = -15 + 9c + 12c Combine like terms: 9c + 12c = 21c -10 + 19c = -15 + 21c Solving -10 + 19c = -15 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. -10 + 19c + -21c = -15 + 21c + -21c Combine like terms: 19c + -21c = -2c -10 + -2c = -15 + 21c + -21c Combine like terms: 21c + -21c = 0 -10 + -2c = -15 + 0 -10 + -2c = -15 Add '10' to each side of the equation. -10 + 10 + -2c = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -2c = -15 + 10 -2c = -15 + 10 Combine like terms: -15 + 10 = -5 -2c = -5 Divide each side by '-2'. c = 2.5 Simplifying c = 2.5
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