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Simplifying 5g + 4(-8 + 2g) = 1 + -1g 5g + (-8 * 4 + 2g * 4) = 1 + -1g 5g + (-32 + 8g) = 1 + -1g Reorder the terms: -32 + 5g + 8g = 1 + -1g Combine like terms: 5g + 8g = 13g -32 + 13g = 1 + -1g Solving -32 + 13g = 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 + 13g + g = 1 + -1g + g Combine like terms: 13g + g = 14g -32 + 14g = 1 + -1g + g Combine like terms: -1g + g = 0 -32 + 14g = 1 + 0 -32 + 14g = 1 Add '32' to each side of the equation. -32 + 32 + 14g = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 14g = 1 + 32 14g = 1 + 32 Combine like terms: 1 + 32 = 33 14g = 33 Divide each side by '14'. g = 2.357142857 Simplifying g = 2.357142857
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