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