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Simplifying 8c + -2(6 + -5c) = c + -3(2c + 9) 8c + (6 * -2 + -5c * -2) = c + -3(2c + 9) 8c + (-12 + 10c) = c + -3(2c + 9) Reorder the terms: -12 + 8c + 10c = c + -3(2c + 9) Combine like terms: 8c + 10c = 18c -12 + 18c = c + -3(2c + 9) Reorder the terms: -12 + 18c = c + -3(9 + 2c) -12 + 18c = c + (9 * -3 + 2c * -3) -12 + 18c = c + (-27 + -6c) Reorder the terms: -12 + 18c = -27 + c + -6c Combine like terms: c + -6c = -5c -12 + 18c = -27 + -5c Solving -12 + 18c = -27 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -12 + 18c + 5c = -27 + -5c + 5c Combine like terms: 18c + 5c = 23c -12 + 23c = -27 + -5c + 5c Combine like terms: -5c + 5c = 0 -12 + 23c = -27 + 0 -12 + 23c = -27 Add '12' to each side of the equation. -12 + 12 + 23c = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 23c = -27 + 12 23c = -27 + 12 Combine like terms: -27 + 12 = -15 23c = -15 Divide each side by '23'. c = -0.652173913 Simplifying c = -0.652173913
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