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Simplifying -8c + 3(c + 2) = -3c + 2 Reorder the terms: -8c + 3(2 + c) = -3c + 2 -8c + (2 * 3 + c * 3) = -3c + 2 -8c + (6 + 3c) = -3c + 2 Reorder the terms: 6 + -8c + 3c = -3c + 2 Combine like terms: -8c + 3c = -5c 6 + -5c = -3c + 2 Reorder the terms: 6 + -5c = 2 + -3c Solving 6 + -5c = 2 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 6 + -5c + 3c = 2 + -3c + 3c Combine like terms: -5c + 3c = -2c 6 + -2c = 2 + -3c + 3c Combine like terms: -3c + 3c = 0 6 + -2c = 2 + 0 6 + -2c = 2 Add '-6' to each side of the equation. 6 + -6 + -2c = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2c = 2 + -6 -2c = 2 + -6 Combine like terms: 2 + -6 = -4 -2c = -4 Divide each side by '-2'. c = 2 Simplifying c = 2
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