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Simplifying 2c + -5(5c + -6) + 6(2c + -6) + 3c + 3 = 0 Reorder the terms: 2c + -5(-6 + 5c) + 6(2c + -6) + 3c + 3 = 0 2c + (-6 * -5 + 5c * -5) + 6(2c + -6) + 3c + 3 = 0 2c + (30 + -25c) + 6(2c + -6) + 3c + 3 = 0 Reorder the terms: 2c + 30 + -25c + 6(-6 + 2c) + 3c + 3 = 0 2c + 30 + -25c + (-6 * 6 + 2c * 6) + 3c + 3 = 0 2c + 30 + -25c + (-36 + 12c) + 3c + 3 = 0 Reorder the terms: 30 + -36 + 3 + 2c + -25c + 12c + 3c = 0 Combine like terms: 30 + -36 = -6 -6 + 3 + 2c + -25c + 12c + 3c = 0 Combine like terms: -6 + 3 = -3 -3 + 2c + -25c + 12c + 3c = 0 Combine like terms: 2c + -25c = -23c -3 + -23c + 12c + 3c = 0 Combine like terms: -23c + 12c = -11c -3 + -11c + 3c = 0 Combine like terms: -11c + 3c = -8c -3 + -8c = 0 Solving -3 + -8c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8c = 0 + 3 -8c = 0 + 3 Combine like terms: 0 + 3 = 3 -8c = 3 Divide each side by '-8'. c = -0.375 Simplifying c = -0.375
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