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Simplifying 4(8 + -1c) = 8c + 16 + -6c (8 * 4 + -1c * 4) = 8c + 16 + -6c (32 + -4c) = 8c + 16 + -6c Reorder the terms: 32 + -4c = 16 + 8c + -6c Combine like terms: 8c + -6c = 2c 32 + -4c = 16 + 2c Solving 32 + -4c = 16 + 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. 32 + -4c + -2c = 16 + 2c + -2c Combine like terms: -4c + -2c = -6c 32 + -6c = 16 + 2c + -2c Combine like terms: 2c + -2c = 0 32 + -6c = 16 + 0 32 + -6c = 16 Add '-32' to each side of the equation. 32 + -32 + -6c = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -6c = 16 + -32 -6c = 16 + -32 Combine like terms: 16 + -32 = -16 -6c = -16 Divide each side by '-6'. c = 2.666666667 Simplifying c = 2.666666667
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