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Simplifying 3g + 2(6 + -1g) = 4 + 5(g + 1) 3g + (6 * 2 + -1g * 2) = 4 + 5(g + 1) 3g + (12 + -2g) = 4 + 5(g + 1) Reorder the terms: 12 + 3g + -2g = 4 + 5(g + 1) Combine like terms: 3g + -2g = 1g 12 + 1g = 4 + 5(g + 1) Reorder the terms: 12 + 1g = 4 + 5(1 + g) 12 + 1g = 4 + (1 * 5 + g * 5) 12 + 1g = 4 + (5 + 5g) Combine like terms: 4 + 5 = 9 12 + 1g = 9 + 5g Solving 12 + 1g = 9 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 12 + 1g + -5g = 9 + 5g + -5g Combine like terms: 1g + -5g = -4g 12 + -4g = 9 + 5g + -5g Combine like terms: 5g + -5g = 0 12 + -4g = 9 + 0 12 + -4g = 9 Add '-12' to each side of the equation. 12 + -12 + -4g = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -4g = 9 + -12 -4g = 9 + -12 Combine like terms: 9 + -12 = -3 -4g = -3 Divide each side by '-4'. g = 0.75 Simplifying g = 0.75
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