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Simplifying j = (2c + -6)(6c + 6) + -2(4c + -2) Reorder the terms: j = (-6 + 2c)(6c + 6) + -2(4c + -2) Reorder the terms: j = (-6 + 2c)(6 + 6c) + -2(4c + -2) Multiply (-6 + 2c) * (6 + 6c) j = (-6(6 + 6c) + 2c * (6 + 6c)) + -2(4c + -2) j = ((6 * -6 + 6c * -6) + 2c * (6 + 6c)) + -2(4c + -2) j = ((-36 + -36c) + 2c * (6 + 6c)) + -2(4c + -2) j = (-36 + -36c + (6 * 2c + 6c * 2c)) + -2(4c + -2) j = (-36 + -36c + (12c + 12c2)) + -2(4c + -2) Combine like terms: -36c + 12c = -24c j = (-36 + -24c + 12c2) + -2(4c + -2) Reorder the terms: j = -36 + -24c + 12c2 + -2(-2 + 4c) j = -36 + -24c + 12c2 + (-2 * -2 + 4c * -2) j = -36 + -24c + 12c2 + (4 + -8c) Reorder the terms: j = -36 + 4 + -24c + -8c + 12c2 Combine like terms: -36 + 4 = -32 j = -32 + -24c + -8c + 12c2 Combine like terms: -24c + -8c = -32c j = -32 + -32c + 12c2 Solving j = -32 + -32c + 12c2 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Simplifying j = -32 + -32c + 12c2
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