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Simplifying 8g + 3(-6 + 5g) = 1 + -1g 8g + (-6 * 3 + 5g * 3) = 1 + -1g 8g + (-18 + 15g) = 1 + -1g Reorder the terms: -18 + 8g + 15g = 1 + -1g Combine like terms: 8g + 15g = 23g -18 + 23g = 1 + -1g Solving -18 + 23g = 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. -18 + 23g + g = 1 + -1g + g Combine like terms: 23g + g = 24g -18 + 24g = 1 + -1g + g Combine like terms: -1g + g = 0 -18 + 24g = 1 + 0 -18 + 24g = 1 Add '18' to each side of the equation. -18 + 18 + 24g = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 24g = 1 + 18 24g = 1 + 18 Combine like terms: 1 + 18 = 19 24g = 19 Divide each side by '24'. g = 0.7916666667 Simplifying g = 0.7916666667
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