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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 = 14g -12 + 14g = -32 + -6g + 6g Combine like terms: -6g + 6g = 0 -12 + 14g = -32 + 0 -12 + 14g = -32 Add '12' to each side of the equation. -12 + 12 + 14g = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 14g = -32 + 12 14g = -32 + 12 Combine like terms: -32 + 12 = -20 14g = -20 Divide each side by '14'. g = -1.428571429 Simplifying g = -1.428571429
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