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Simplifying 6c + -4(2c + 8) = 16 + c Reorder the terms: 6c + -4(8 + 2c) = 16 + c 6c + (8 * -4 + 2c * -4) = 16 + c 6c + (-32 + -8c) = 16 + c Reorder the terms: -32 + 6c + -8c = 16 + c Combine like terms: 6c + -8c = -2c -32 + -2c = 16 + c Solving -32 + -2c = 16 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -32 + -2c + -1c = 16 + c + -1c Combine like terms: -2c + -1c = -3c -32 + -3c = 16 + c + -1c Combine like terms: c + -1c = 0 -32 + -3c = 16 + 0 -32 + -3c = 16 Add '32' to each side of the equation. -32 + 32 + -3c = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -3c = 16 + 32 -3c = 16 + 32 Combine like terms: 16 + 32 = 48 -3c = 48 Divide each side by '-3'. c = -16 Simplifying c = -16
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