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