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Simplifying 6g + 4(-4 + 5g) = 1 + -1g 6g + (-4 * 4 + 5g * 4) = 1 + -1g 6g + (-16 + 20g) = 1 + -1g Reorder the terms: -16 + 6g + 20g = 1 + -1g Combine like terms: 6g + 20g = 26g -16 + 26g = 1 + -1g Solving -16 + 26g = 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. -16 + 26g + g = 1 + -1g + g Combine like terms: 26g + g = 27g -16 + 27g = 1 + -1g + g Combine like terms: -1g + g = 0 -16 + 27g = 1 + 0 -16 + 27g = 1 Add '16' to each side of the equation. -16 + 16 + 27g = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 27g = 1 + 16 27g = 1 + 16 Combine like terms: 1 + 16 = 17 27g = 17 Divide each side by '27'. g = 0.6296296296 Simplifying g = 0.6296296296
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