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Simplifying P = (x + y + 6z) + -1(4x + -6y + z) Remove parenthesis around (x + y + 6z) P = x + y + 6z + -1(4x + -6y + z) P = x + y + 6z + (4x * -1 + -6y * -1 + z * -1) P = x + y + 6z + (-4x + 6y + -1z) Reorder the terms: P = x + -4x + y + 6y + 6z + -1z Combine like terms: x + -4x = -3x P = -3x + y + 6y + 6z + -1z Combine like terms: y + 6y = 7y P = -3x + 7y + 6z + -1z Combine like terms: 6z + -1z = 5z P = -3x + 7y + 5z Solving P = -3x + 7y + 5z Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Simplifying P = -3x + 7y + 5z
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