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Simplifying 24c + 16 + -18c + -4 = 4(c + -1) Reorder the terms: 16 + -4 + 24c + -18c = 4(c + -1) Combine like terms: 16 + -4 = 12 12 + 24c + -18c = 4(c + -1) Combine like terms: 24c + -18c = 6c 12 + 6c = 4(c + -1) Reorder the terms: 12 + 6c = 4(-1 + c) 12 + 6c = (-1 * 4 + c * 4) 12 + 6c = (-4 + 4c) Solving 12 + 6c = -4 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 12 + 6c + -4c = -4 + 4c + -4c Combine like terms: 6c + -4c = 2c 12 + 2c = -4 + 4c + -4c Combine like terms: 4c + -4c = 0 12 + 2c = -4 + 0 12 + 2c = -4 Add '-12' to each side of the equation. 12 + -12 + 2c = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = -4 + -12 2c = -4 + -12 Combine like terms: -4 + -12 = -16 2c = -16 Divide each side by '2'. c = -8 Simplifying c = -8
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