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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 = -7c 2 + -7c = 3 + 6c + -6c Combine like terms: 6c + -6c = 0 2 + -7c = 3 + 0 2 + -7c = 3 Add '-2' to each side of the equation. 2 + -2 + -7c = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -7c = 3 + -2 -7c = 3 + -2 Combine like terms: 3 + -2 = 1 -7c = 1 Divide each side by '-7'. c = -0.1428571429 Simplifying c = -0.1428571429
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