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Simplifying 2(2g + -6) = 4(1 + -1g) Reorder the terms: 2(-6 + 2g) = 4(1 + -1g) (-6 * 2 + 2g * 2) = 4(1 + -1g) (-12 + 4g) = 4(1 + -1g) -12 + 4g = (1 * 4 + -1g * 4) -12 + 4g = (4 + -4g) Solving -12 + 4g = 4 + -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. -12 + 4g + 4g = 4 + -4g + 4g Combine like terms: 4g + 4g = 8g -12 + 8g = 4 + -4g + 4g Combine like terms: -4g + 4g = 0 -12 + 8g = 4 + 0 -12 + 8g = 4 Add '12' to each side of the equation. -12 + 12 + 8g = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8g = 4 + 12 8g = 4 + 12 Combine like terms: 4 + 12 = 16 8g = 16 Divide each side by '8'. g = 2 Simplifying g = 2
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