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Simplifying 52 = 8g + -4 + 2(g + -2) Reorder the terms: 52 = 8g + -4 + 2(-2 + g) 52 = 8g + -4 + (-2 * 2 + g * 2) 52 = 8g + -4 + (-4 + 2g) Reorder the terms: 52 = -4 + -4 + 8g + 2g Combine like terms: -4 + -4 = -8 52 = -8 + 8g + 2g Combine like terms: 8g + 2g = 10g 52 = -8 + 10g Solving 52 = -8 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. 52 + -10g = -8 + 10g + -10g Combine like terms: 10g + -10g = 0 52 + -10g = -8 + 0 52 + -10g = -8 Add '-52' to each side of the equation. 52 + -52 + -10g = -8 + -52 Combine like terms: 52 + -52 = 0 0 + -10g = -8 + -52 -10g = -8 + -52 Combine like terms: -8 + -52 = -60 -10g = -60 Divide each side by '-10'. g = 6 Simplifying g = 6
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