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Simplifying 19c + 45 = 31c + -63 Reorder the terms: 45 + 19c = 31c + -63 Reorder the terms: 45 + 19c = -63 + 31c Solving 45 + 19c = -63 + 31c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-31c' to each side of the equation. 45 + 19c + -31c = -63 + 31c + -31c Combine like terms: 19c + -31c = -12c 45 + -12c = -63 + 31c + -31c Combine like terms: 31c + -31c = 0 45 + -12c = -63 + 0 45 + -12c = -63 Add '-45' to each side of the equation. 45 + -45 + -12c = -63 + -45 Combine like terms: 45 + -45 = 0 0 + -12c = -63 + -45 -12c = -63 + -45 Combine like terms: -63 + -45 = -108 -12c = -108 Divide each side by '-12'. c = 9 Simplifying c = 9
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