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Simplifying 7(-1p + 2g) + -1(p + -3g) = 0 Reorder the terms: 7(2g + -1p) + -1(p + -3g) = 0 (2g * 7 + -1p * 7) + -1(p + -3g) = 0 (14g + -7p) + -1(p + -3g) = 0 Reorder the terms: 14g + -7p + -1(-3g + p) = 0 14g + -7p + (-3g * -1 + p * -1) = 0 14g + -7p + (3g + -1p) = 0 Reorder the terms: 14g + 3g + -7p + -1p = 0 Combine like terms: 14g + 3g = 17g 17g + -7p + -1p = 0 Combine like terms: -7p + -1p = -8p 17g + -8p = 0 Solving 17g + -8p = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8p' to each side of the equation. 17g + -8p + 8p = 0 + 8p Combine like terms: -8p + 8p = 0 17g + 0 = 0 + 8p 17g = 0 + 8p Remove the zero: 17g = 8p Divide each side by '17'. g = 0.4705882353p Simplifying g = 0.4705882353p
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