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Simplifying 3g + 4(-8 + 3g) = 1 + -1g 3g + (-8 * 4 + 3g * 4) = 1 + -1g 3g + (-32 + 12g) = 1 + -1g Reorder the terms: -32 + 3g + 12g = 1 + -1g Combine like terms: 3g + 12g = 15g -32 + 15g = 1 + -1g Solving -32 + 15g = 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 + 15g + g = 1 + -1g + g Combine like terms: 15g + g = 16g -32 + 16g = 1 + -1g + g Combine like terms: -1g + g = 0 -32 + 16g = 1 + 0 -32 + 16g = 1 Add '32' to each side of the equation. -32 + 32 + 16g = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 16g = 1 + 32 16g = 1 + 32 Combine like terms: 1 + 32 = 33 16g = 33 Divide each side by '16'. g = 2.0625 Simplifying g = 2.0625
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