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Simplifying -8 + 3(c + -2) = -3c + 2 Reorder the terms: -8 + 3(-2 + c) = -3c + 2 -8 + (-2 * 3 + c * 3) = -3c + 2 -8 + (-6 + 3c) = -3c + 2 Combine like terms: -8 + -6 = -14 -14 + 3c = -3c + 2 Reorder the terms: -14 + 3c = 2 + -3c Solving -14 + 3c = 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. -14 + 3c + 3c = 2 + -3c + 3c Combine like terms: 3c + 3c = 6c -14 + 6c = 2 + -3c + 3c Combine like terms: -3c + 3c = 0 -14 + 6c = 2 + 0 -14 + 6c = 2 Add '14' to each side of the equation. -14 + 14 + 6c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 6c = 2 + 14 6c = 2 + 14 Combine like terms: 2 + 14 = 16 6c = 16 Divide each side by '6'. c = 2.666666667 Simplifying c = 2.666666667
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