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Simplifying 10c + -20 + 3 + 15 = -5c + 43 Reorder the terms: -20 + 3 + 15 + 10c = -5c + 43 Combine like terms: -20 + 3 = -17 -17 + 15 + 10c = -5c + 43 Combine like terms: -17 + 15 = -2 -2 + 10c = -5c + 43 Reorder the terms: -2 + 10c = 43 + -5c Solving -2 + 10c = 43 + -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. -2 + 10c + 5c = 43 + -5c + 5c Combine like terms: 10c + 5c = 15c -2 + 15c = 43 + -5c + 5c Combine like terms: -5c + 5c = 0 -2 + 15c = 43 + 0 -2 + 15c = 43 Add '2' to each side of the equation. -2 + 2 + 15c = 43 + 2 Combine like terms: -2 + 2 = 0 0 + 15c = 43 + 2 15c = 43 + 2 Combine like terms: 43 + 2 = 45 15c = 45 Divide each side by '15'. c = 3 Simplifying c = 3
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