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Simplifying 9c2 + -49c + -30 = 9c2 + 12c + -30 Reorder the terms: -30 + -49c + 9c2 = 9c2 + 12c + -30 Reorder the terms: -30 + -49c + 9c2 = -30 + 12c + 9c2 Add '30' to each side of the equation. -30 + -49c + 30 + 9c2 = -30 + 12c + 30 + 9c2 Reorder the terms: -30 + 30 + -49c + 9c2 = -30 + 12c + 30 + 9c2 Combine like terms: -30 + 30 = 0 0 + -49c + 9c2 = -30 + 12c + 30 + 9c2 -49c + 9c2 = -30 + 12c + 30 + 9c2 Reorder the terms: -49c + 9c2 = -30 + 30 + 12c + 9c2 Combine like terms: -30 + 30 = 0 -49c + 9c2 = 0 + 12c + 9c2 -49c + 9c2 = 12c + 9c2 Add '-9c2' to each side of the equation. -49c + 9c2 + -9c2 = 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 -49c + 0 = 12c + 9c2 + -9c2 -49c = 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 -49c = 12c + 0 -49c = 12c Solving -49c = 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. -49c + -12c = 12c + -12c Combine like terms: -49c + -12c = -61c -61c = 12c + -12c Combine like terms: 12c + -12c = 0 -61c = 0 Divide each side by '-61'. c = 0 Simplifying c = 0
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