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Simplifying 8(g + 2) + 3(g + -2) = 76 Reorder the terms: 8(2 + g) + 3(g + -2) = 76 (2 * 8 + g * 8) + 3(g + -2) = 76 (16 + 8g) + 3(g + -2) = 76 Reorder the terms: 16 + 8g + 3(-2 + g) = 76 16 + 8g + (-2 * 3 + g * 3) = 76 16 + 8g + (-6 + 3g) = 76 Reorder the terms: 16 + -6 + 8g + 3g = 76 Combine like terms: 16 + -6 = 10 10 + 8g + 3g = 76 Combine like terms: 8g + 3g = 11g 10 + 11g = 76 Solving 10 + 11g = 76 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11g = 76 + -10 Combine like terms: 10 + -10 = 0 0 + 11g = 76 + -10 11g = 76 + -10 Combine like terms: 76 + -10 = 66 11g = 66 Divide each side by '11'. g = 6 Simplifying g = 6
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