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Simplifying 6c + 16 = -32 + 2c Reorder the terms: 16 + 6c = -32 + 2c Solving 16 + 6c = -32 + 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. 16 + 6c + -2c = -32 + 2c + -2c Combine like terms: 6c + -2c = 4c 16 + 4c = -32 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + 4c = -32 + 0 16 + 4c = -32 Add '-16' to each side of the equation. 16 + -16 + 4c = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 4c = -32 + -16 4c = -32 + -16 Combine like terms: -32 + -16 = -48 4c = -48 Divide each side by '4'. c = -12 Simplifying c = -12
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