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Simplifying 3c + -4[3c + -2c(5 + -3c)] = 2c + -3c(8c + -4) 3c + -4[3c + (5 * -2c + -3c * -2c)] = 2c + -3c(8c + -4) 3c + -4[3c + (-10c + 6c2)] = 2c + -3c(8c + -4) Combine like terms: 3c + -10c = -7c 3c + -4[-7c + 6c2] = 2c + -3c(8c + -4) 3c + [-7c * -4 + 6c2 * -4] = 2c + -3c(8c + -4) 3c + [28c + -24c2] = 2c + -3c(8c + -4) Combine like terms: 3c + 28c = 31c 31c + -24c2 = 2c + -3c(8c + -4) Reorder the terms: 31c + -24c2 = 2c + -3c(-4 + 8c) 31c + -24c2 = 2c + (-4 * -3c + 8c * -3c) 31c + -24c2 = 2c + (12c + -24c2) Combine like terms: 2c + 12c = 14c 31c + -24c2 = 14c + -24c2 Add '24c2' to each side of the equation. 31c + -24c2 + 24c2 = 14c + -24c2 + 24c2 Combine like terms: -24c2 + 24c2 = 0 31c + 0 = 14c + -24c2 + 24c2 31c = 14c + -24c2 + 24c2 Combine like terms: -24c2 + 24c2 = 0 31c = 14c + 0 31c = 14c Solving 31c = 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 31c + -14c = 14c + -14c Combine like terms: 31c + -14c = 17c 17c = 14c + -14c Combine like terms: 14c + -14c = 0 17c = 0 Divide each side by '17'. c = 0 Simplifying c = 0
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