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Simplifying 2 + 4(2g + -3) = 2(2g + -9) Reorder the terms: 2 + 4(-3 + 2g) = 2(2g + -9) 2 + (-3 * 4 + 2g * 4) = 2(2g + -9) 2 + (-12 + 8g) = 2(2g + -9) Combine like terms: 2 + -12 = -10 -10 + 8g = 2(2g + -9) Reorder the terms: -10 + 8g = 2(-9 + 2g) -10 + 8g = (-9 * 2 + 2g * 2) -10 + 8g = (-18 + 4g) Solving -10 + 8g = -18 + 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. -10 + 8g + -4g = -18 + 4g + -4g Combine like terms: 8g + -4g = 4g -10 + 4g = -18 + 4g + -4g Combine like terms: 4g + -4g = 0 -10 + 4g = -18 + 0 -10 + 4g = -18 Add '10' to each side of the equation. -10 + 10 + 4g = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 4g = -18 + 10 4g = -18 + 10 Combine like terms: -18 + 10 = -8 4g = -8 Divide each side by '4'. g = -2 Simplifying g = -2
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