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Simplifying 8(c + 1) = 2(c + -2) Reorder the terms: 8(1 + c) = 2(c + -2) (1 * 8 + c * 8) = 2(c + -2) (8 + 8c) = 2(c + -2) Reorder the terms: 8 + 8c = 2(-2 + c) 8 + 8c = (-2 * 2 + c * 2) 8 + 8c = (-4 + 2c) Solving 8 + 8c = -4 + 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. 8 + 8c + -2c = -4 + 2c + -2c Combine like terms: 8c + -2c = 6c 8 + 6c = -4 + 2c + -2c Combine like terms: 2c + -2c = 0 8 + 6c = -4 + 0 8 + 6c = -4 Add '-8' to each side of the equation. 8 + -8 + 6c = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 6c = -4 + -8 6c = -4 + -8 Combine like terms: -4 + -8 = -12 6c = -12 Divide each side by '6'. c = -2 Simplifying c = -2
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