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Simplifying 3c + -1(c + 2) = 2(4c + 5) Reorder the terms: 3c + -1(2 + c) = 2(4c + 5) 3c + (2 * -1 + c * -1) = 2(4c + 5) 3c + (-2 + -1c) = 2(4c + 5) Reorder the terms: -2 + 3c + -1c = 2(4c + 5) Combine like terms: 3c + -1c = 2c -2 + 2c = 2(4c + 5) Reorder the terms: -2 + 2c = 2(5 + 4c) -2 + 2c = (5 * 2 + 4c * 2) -2 + 2c = (10 + 8c) Solving -2 + 2c = 10 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -2 + 2c + -8c = 10 + 8c + -8c Combine like terms: 2c + -8c = -6c -2 + -6c = 10 + 8c + -8c Combine like terms: 8c + -8c = 0 -2 + -6c = 10 + 0 -2 + -6c = 10 Add '2' to each side of the equation. -2 + 2 + -6c = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6c = 10 + 2 -6c = 10 + 2 Combine like terms: 10 + 2 = 12 -6c = 12 Divide each side by '-6'. c = -2 Simplifying c = -2
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