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Simplifying 4(3g + -5) = -2(46 + 3g) Reorder the terms: 4(-5 + 3g) = -2(46 + 3g) (-5 * 4 + 3g * 4) = -2(46 + 3g) (-20 + 12g) = -2(46 + 3g) -20 + 12g = (46 * -2 + 3g * -2) -20 + 12g = (-92 + -6g) Solving -20 + 12g = -92 + -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. -20 + 12g + 6g = -92 + -6g + 6g Combine like terms: 12g + 6g = 18g -20 + 18g = -92 + -6g + 6g Combine like terms: -6g + 6g = 0 -20 + 18g = -92 + 0 -20 + 18g = -92 Add '20' to each side of the equation. -20 + 20 + 18g = -92 + 20 Combine like terms: -20 + 20 = 0 0 + 18g = -92 + 20 18g = -92 + 20 Combine like terms: -92 + 20 = -72 18g = -72 Divide each side by '18'. g = -4 Simplifying g = -4
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