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Simplifying 0.33(6g + -9) = 7 + -2g Reorder the terms: 0.33(-9 + 6g) = 7 + -2g (-9 * 0.33 + 6g * 0.33) = 7 + -2g (-2.97 + 1.98g) = 7 + -2g Solving -2.97 + 1.98g = 7 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. -2.97 + 1.98g + 2g = 7 + -2g + 2g Combine like terms: 1.98g + 2g = 3.98g -2.97 + 3.98g = 7 + -2g + 2g Combine like terms: -2g + 2g = 0 -2.97 + 3.98g = 7 + 0 -2.97 + 3.98g = 7 Add '2.97' to each side of the equation. -2.97 + 2.97 + 3.98g = 7 + 2.97 Combine like terms: -2.97 + 2.97 = 0.00 0.00 + 3.98g = 7 + 2.97 3.98g = 7 + 2.97 Combine like terms: 7 + 2.97 = 9.97 3.98g = 9.97 Divide each side by '3.98'. g = 2.505025126 Simplifying g = 2.505025126
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