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Simplifying 5(5g + 3) + 25 + 115 = 4(2g + 9) + 30 + 106 Reorder the terms: 5(3 + 5g) + 25 + 115 = 4(2g + 9) + 30 + 106 (3 * 5 + 5g * 5) + 25 + 115 = 4(2g + 9) + 30 + 106 (15 + 25g) + 25 + 115 = 4(2g + 9) + 30 + 106 Reorder the terms: 15 + 25 + 115 + 25g = 4(2g + 9) + 30 + 106 Combine like terms: 15 + 25 = 40 40 + 115 + 25g = 4(2g + 9) + 30 + 106 Combine like terms: 40 + 115 = 155 155 + 25g = 4(2g + 9) + 30 + 106 Reorder the terms: 155 + 25g = 4(9 + 2g) + 30 + 106 155 + 25g = (9 * 4 + 2g * 4) + 30 + 106 155 + 25g = (36 + 8g) + 30 + 106 Reorder the terms: 155 + 25g = 36 + 30 + 106 + 8g Combine like terms: 36 + 30 = 66 155 + 25g = 66 + 106 + 8g Combine like terms: 66 + 106 = 172 155 + 25g = 172 + 8g Solving 155 + 25g = 172 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. 155 + 25g + -8g = 172 + 8g + -8g Combine like terms: 25g + -8g = 17g 155 + 17g = 172 + 8g + -8g Combine like terms: 8g + -8g = 0 155 + 17g = 172 + 0 155 + 17g = 172 Add '-155' to each side of the equation. 155 + -155 + 17g = 172 + -155 Combine like terms: 155 + -155 = 0 0 + 17g = 172 + -155 17g = 172 + -155 Combine like terms: 172 + -155 = 17 17g = 17 Divide each side by '17'. g = 1 Simplifying g = 1
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