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Simplifying 2g + 4(-8 + 5g) = 1 + -1g 2g + (-8 * 4 + 5g * 4) = 1 + -1g 2g + (-32 + 20g) = 1 + -1g Reorder the terms: -32 + 2g + 20g = 1 + -1g Combine like terms: 2g + 20g = 22g -32 + 22g = 1 + -1g Solving -32 + 22g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -32 + 22g + g = 1 + -1g + g Combine like terms: 22g + g = 23g -32 + 23g = 1 + -1g + g Combine like terms: -1g + g = 0 -32 + 23g = 1 + 0 -32 + 23g = 1 Add '32' to each side of the equation. -32 + 32 + 23g = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 23g = 1 + 32 23g = 1 + 32 Combine like terms: 1 + 32 = 33 23g = 33 Divide each side by '23'. g = 1.434782609 Simplifying g = 1.434782609
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