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Simplifying 3(7 + -2c) = 14 + -8(c + -1) (7 * 3 + -2c * 3) = 14 + -8(c + -1) (21 + -6c) = 14 + -8(c + -1) Reorder the terms: 21 + -6c = 14 + -8(-1 + c) 21 + -6c = 14 + (-1 * -8 + c * -8) 21 + -6c = 14 + (8 + -8c) Combine like terms: 14 + 8 = 22 21 + -6c = 22 + -8c Solving 21 + -6c = 22 + -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. 21 + -6c + 8c = 22 + -8c + 8c Combine like terms: -6c + 8c = 2c 21 + 2c = 22 + -8c + 8c Combine like terms: -8c + 8c = 0 21 + 2c = 22 + 0 21 + 2c = 22 Add '-21' to each side of the equation. 21 + -21 + 2c = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 2c = 22 + -21 2c = 22 + -21 Combine like terms: 22 + -21 = 1 2c = 1 Divide each side by '2'. c = 0.5 Simplifying c = 0.5
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