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Simplifying 3(4c + -2) + -5 = 2c + 9 Reorder the terms: 3(-2 + 4c) + -5 = 2c + 9 (-2 * 3 + 4c * 3) + -5 = 2c + 9 (-6 + 12c) + -5 = 2c + 9 Reorder the terms: -6 + -5 + 12c = 2c + 9 Combine like terms: -6 + -5 = -11 -11 + 12c = 2c + 9 Reorder the terms: -11 + 12c = 9 + 2c Solving -11 + 12c = 9 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -11 + 12c + -2c = 9 + 2c + -2c Combine like terms: 12c + -2c = 10c -11 + 10c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 -11 + 10c = 9 + 0 -11 + 10c = 9 Add '11' to each side of the equation. -11 + 11 + 10c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 10c = 9 + 11 10c = 9 + 11 Combine like terms: 9 + 11 = 20 10c = 20 Divide each side by '10'. c = 2 Simplifying c = 2
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