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Simplifying 3g + -4(-8 + 5g) = 1 + -1g 3g + (-8 * -4 + 5g * -4) = 1 + -1g 3g + (32 + -20g) = 1 + -1g Reorder the terms: 32 + 3g + -20g = 1 + -1g Combine like terms: 3g + -20g = -17g 32 + -17g = 1 + -1g Solving 32 + -17g = 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 + -17g + g = 1 + -1g + g Combine like terms: -17g + 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 = -31 -16g = -31 Divide each side by '-16'. g = 1.9375 Simplifying g = 1.9375
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