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Simplifying 2g + 3(-1 + g) = 37 + -3g 2g + (-1 * 3 + g * 3) = 37 + -3g 2g + (-3 + 3g) = 37 + -3g Reorder the terms: -3 + 2g + 3g = 37 + -3g Combine like terms: 2g + 3g = 5g -3 + 5g = 37 + -3g Solving -3 + 5g = 37 + -3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g' to each side of the equation. -3 + 5g + 3g = 37 + -3g + 3g Combine like terms: 5g + 3g = 8g -3 + 8g = 37 + -3g + 3g Combine like terms: -3g + 3g = 0 -3 + 8g = 37 + 0 -3 + 8g = 37 Add '3' to each side of the equation. -3 + 3 + 8g = 37 + 3 Combine like terms: -3 + 3 = 0 0 + 8g = 37 + 3 8g = 37 + 3 Combine like terms: 37 + 3 = 40 8g = 40 Divide each side by '8'. g = 5 Simplifying g = 5
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