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Simplifying 2(p + -2) + 16g(p) = 5p + -9 Reorder the terms: 2(-2 + p) + 16g(p) = 5p + -9 (-2 * 2 + p * 2) + 16g(p) = 5p + -9 (-4 + 2p) + 16g(p) = 5p + -9 Multiply g * p -4 + 2p + 16gp = 5p + -9 Reorder the terms: -4 + 16gp + 2p = 5p + -9 Reorder the terms: -4 + 16gp + 2p = -9 + 5p Solving -4 + 16gp + 2p = -9 + 5p Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 16gp + 4 + 2p = -9 + 4 + 5p Reorder the terms: -4 + 4 + 16gp + 2p = -9 + 4 + 5p Combine like terms: -4 + 4 = 0 0 + 16gp + 2p = -9 + 4 + 5p 16gp + 2p = -9 + 4 + 5p Combine like terms: -9 + 4 = -5 16gp + 2p = -5 + 5p Add '-2p' to each side of the equation. 16gp + 2p + -2p = -5 + 5p + -2p Combine like terms: 2p + -2p = 0 16gp + 0 = -5 + 5p + -2p 16gp = -5 + 5p + -2p Combine like terms: 5p + -2p = 3p 16gp = -5 + 3p Divide each side by '16p'. g = -0.3125p-1 + 0.1875 Simplifying g = -0.3125p-1 + 0.1875 Reorder the terms: g = 0.1875 + -0.3125p-1
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