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Simplifying 2g + 3(6 + -1g) = 5 + 4(g + 1) 2g + (6 * 3 + -1g * 3) = 5 + 4(g + 1) 2g + (18 + -3g) = 5 + 4(g + 1) Reorder the terms: 18 + 2g + -3g = 5 + 4(g + 1) Combine like terms: 2g + -3g = -1g 18 + -1g = 5 + 4(g + 1) Reorder the terms: 18 + -1g = 5 + 4(1 + g) 18 + -1g = 5 + (1 * 4 + g * 4) 18 + -1g = 5 + (4 + 4g) Combine like terms: 5 + 4 = 9 18 + -1g = 9 + 4g Solving 18 + -1g = 9 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 18 + -1g + -4g = 9 + 4g + -4g Combine like terms: -1g + -4g = -5g 18 + -5g = 9 + 4g + -4g Combine like terms: 4g + -4g = 0 18 + -5g = 9 + 0 18 + -5g = 9 Add '-18' to each side of the equation. 18 + -18 + -5g = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -5g = 9 + -18 -5g = 9 + -18 Combine like terms: 9 + -18 = -9 -5g = -9 Divide each side by '-5'. g = 1.8 Simplifying g = 1.8
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