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Simplifying 45 + -9 = 17 + -5 + -2c + 10c Combine like terms: 45 + -9 = 36 36 = 17 + -5 + -2c + 10c Combine like terms: 17 + -5 = 12 36 = 12 + -2c + 10c Combine like terms: -2c + 10c = 8c 36 = 12 + 8c Solving 36 = 12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 36 + -8c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 36 + -8c = 12 + 0 36 + -8c = 12 Add '-36' to each side of the equation. 36 + -36 + -8c = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -8c = 12 + -36 -8c = 12 + -36 Combine like terms: 12 + -36 = -24 -8c = -24 Divide each side by '-8'. c = 3 Simplifying c = 3
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