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Simplifying 4(2g + -3) = 2(3g + 16) Reorder the terms: 4(-3 + 2g) = 2(3g + 16) (-3 * 4 + 2g * 4) = 2(3g + 16) (-12 + 8g) = 2(3g + 16) Reorder the terms: -12 + 8g = 2(16 + 3g) -12 + 8g = (16 * 2 + 3g * 2) -12 + 8g = (32 + 6g) Solving -12 + 8g = 32 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -12 + 8g + -6g = 32 + 6g + -6g Combine like terms: 8g + -6g = 2g -12 + 2g = 32 + 6g + -6g Combine like terms: 6g + -6g = 0 -12 + 2g = 32 + 0 -12 + 2g = 32 Add '12' to each side of the equation. -12 + 12 + 2g = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 2g = 32 + 12 2g = 32 + 12 Combine like terms: 32 + 12 = 44 2g = 44 Divide each side by '2'. g = 22 Simplifying g = 22
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