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Simplifying 3(g + 9) = 4(g + 6) Reorder the terms: 3(9 + g) = 4(g + 6) (9 * 3 + g * 3) = 4(g + 6) (27 + 3g) = 4(g + 6) Reorder the terms: 27 + 3g = 4(6 + g) 27 + 3g = (6 * 4 + g * 4) 27 + 3g = (24 + 4g) Solving 27 + 3g = 24 + 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. 27 + 3g + -4g = 24 + 4g + -4g Combine like terms: 3g + -4g = -1g 27 + -1g = 24 + 4g + -4g Combine like terms: 4g + -4g = 0 27 + -1g = 24 + 0 27 + -1g = 24 Add '-27' to each side of the equation. 27 + -27 + -1g = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -1g = 24 + -27 -1g = 24 + -27 Combine like terms: 24 + -27 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3
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