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Simplifying 5g + 2(-4 + 3g) = 1 + -1g 5g + (-4 * 2 + 3g * 2) = 1 + -1g 5g + (-8 + 6g) = 1 + -1g Reorder the terms: -8 + 5g + 6g = 1 + -1g Combine like terms: 5g + 6g = 11g -8 + 11g = 1 + -1g Solving -8 + 11g = 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. -8 + 11g + g = 1 + -1g + g Combine like terms: 11g + g = 12g -8 + 12g = 1 + -1g + g Combine like terms: -1g + g = 0 -8 + 12g = 1 + 0 -8 + 12g = 1 Add '8' to each side of the equation. -8 + 8 + 12g = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 12g = 1 + 8 12g = 1 + 8 Combine like terms: 1 + 8 = 9 12g = 9 Divide each side by '12'. g = 0.75 Simplifying g = 0.75
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