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Simplifying 3c + -6(2c + 6) + -4(3c + -5) + 3c + -4 = 0 Reorder the terms: 3c + -6(6 + 2c) + -4(3c + -5) + 3c + -4 = 0 3c + (6 * -6 + 2c * -6) + -4(3c + -5) + 3c + -4 = 0 3c + (-36 + -12c) + -4(3c + -5) + 3c + -4 = 0 Reorder the terms: 3c + -36 + -12c + -4(-5 + 3c) + 3c + -4 = 0 3c + -36 + -12c + (-5 * -4 + 3c * -4) + 3c + -4 = 0 3c + -36 + -12c + (20 + -12c) + 3c + -4 = 0 Reorder the terms: -36 + 20 + -4 + 3c + -12c + -12c + 3c = 0 Combine like terms: -36 + 20 = -16 -16 + -4 + 3c + -12c + -12c + 3c = 0 Combine like terms: -16 + -4 = -20 -20 + 3c + -12c + -12c + 3c = 0 Combine like terms: 3c + -12c = -9c -20 + -9c + -12c + 3c = 0 Combine like terms: -9c + -12c = -21c -20 + -21c + 3c = 0 Combine like terms: -21c + 3c = -18c -20 + -18c = 0 Solving -20 + -18c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -18c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -18c = 0 + 20 -18c = 0 + 20 Combine like terms: 0 + 20 = 20 -18c = 20 Divide each side by '-18'. c = -1.111111111 Simplifying c = -1.111111111
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