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Simplifying 8c + -32 = 6c + -3(4 + c) Reorder the terms: -32 + 8c = 6c + -3(4 + c) -32 + 8c = 6c + (4 * -3 + c * -3) -32 + 8c = 6c + (-12 + -3c) Reorder the terms: -32 + 8c = -12 + 6c + -3c Combine like terms: 6c + -3c = 3c -32 + 8c = -12 + 3c Solving -32 + 8c = -12 + 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. -32 + 8c + -3c = -12 + 3c + -3c Combine like terms: 8c + -3c = 5c -32 + 5c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 -32 + 5c = -12 + 0 -32 + 5c = -12 Add '32' to each side of the equation. -32 + 32 + 5c = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5c = -12 + 32 5c = -12 + 32 Combine like terms: -12 + 32 = 20 5c = 20 Divide each side by '5'. c = 4 Simplifying c = 4
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