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Simplifying 12p + 2q + 3p + -8p + 4g = 0 Reorder the terms: 4g + 12p + 3p + -8p + 2q = 0 Combine like terms: 12p + 3p = 15p 4g + 15p + -8p + 2q = 0 Combine like terms: 15p + -8p = 7p 4g + 7p + 2q = 0 Solving 4g + 7p + 2q = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7p' to each side of the equation. 4g + 7p + -7p + 2q = 0 + -7p Combine like terms: 7p + -7p = 0 4g + 0 + 2q = 0 + -7p 4g + 2q = 0 + -7p Remove the zero: 4g + 2q = -7p Add '-2q' to each side of the equation. 4g + 2q + -2q = -7p + -2q Combine like terms: 2q + -2q = 0 4g + 0 = -7p + -2q 4g = -7p + -2q Divide each side by '4'. g = -1.75p + -0.5q Simplifying g = -1.75p + -0.5q
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