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Simplifying 3p2 + pa + 8 = 10 + -1p2 Reorder the terms: 8 + ap + 3p2 = 10 + -1p2 Solving 8 + ap + 3p2 = 10 + -1p2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + ap + -8 + 3p2 = 10 + -8 + -1p2 Reorder the terms: 8 + -8 + ap + 3p2 = 10 + -8 + -1p2 Combine like terms: 8 + -8 = 0 0 + ap + 3p2 = 10 + -8 + -1p2 ap + 3p2 = 10 + -8 + -1p2 Combine like terms: 10 + -8 = 2 ap + 3p2 = 2 + -1p2 Add '-3p2' to each side of the equation. ap + 3p2 + -3p2 = 2 + -1p2 + -3p2 Combine like terms: 3p2 + -3p2 = 0 ap + 0 = 2 + -1p2 + -3p2 ap = 2 + -1p2 + -3p2 Combine like terms: -1p2 + -3p2 = -4p2 ap = 2 + -4p2 Divide each side by 'p'. a = 2p-1 + -4p Simplifying a = 2p-1 + -4p
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