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Simplifying g(p + 3) = 2p2 + 12p + 18 + 2p + 6 + 7 Reorder the terms: g(3 + p) = 2p2 + 12p + 18 + 2p + 6 + 7 (3 * g + p * g) = 2p2 + 12p + 18 + 2p + 6 + 7 (3g + gp) = 2p2 + 12p + 18 + 2p + 6 + 7 Reorder the terms: 3g + gp = 18 + 6 + 7 + 12p + 2p + 2p2 Combine like terms: 18 + 6 = 24 3g + gp = 24 + 7 + 12p + 2p + 2p2 Combine like terms: 24 + 7 = 31 3g + gp = 31 + 12p + 2p + 2p2 Combine like terms: 12p + 2p = 14p 3g + gp = 31 + 14p + 2p2 Solving 3g + gp = 31 + 14p + 2p2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -31 + 3g + gp + -14p + -2p2 = 31 + 14p + 2p2 + -31 + -14p + -2p2 Reorder the terms: -31 + 3g + gp + -14p + -2p2 = 31 + -31 + 14p + -14p + 2p2 + -2p2 Combine like terms: 31 + -31 = 0 -31 + 3g + gp + -14p + -2p2 = 0 + 14p + -14p + 2p2 + -2p2 -31 + 3g + gp + -14p + -2p2 = 14p + -14p + 2p2 + -2p2 Combine like terms: 14p + -14p = 0 -31 + 3g + gp + -14p + -2p2 = 0 + 2p2 + -2p2 -31 + 3g + gp + -14p + -2p2 = 2p2 + -2p2 Combine like terms: 2p2 + -2p2 = 0 -31 + 3g + gp + -14p + -2p2 = 0 The solution to this equation could not be determined.
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