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Simplifying (6g + -9) + 0.33(15 + -9g) = 0 Reorder the terms: (-9 + 6g) + 0.33(15 + -9g) = 0 Remove parenthesis around (-9 + 6g) -9 + 6g + 0.33(15 + -9g) = 0 -9 + 6g + (15 * 0.33 + -9g * 0.33) = 0 -9 + 6g + (4.95 + -2.97g) = 0 Reorder the terms: -9 + 4.95 + 6g + -2.97g = 0 Combine like terms: -9 + 4.95 = -4.05 -4.05 + 6g + -2.97g = 0 Combine like terms: 6g + -2.97g = 3.03g -4.05 + 3.03g = 0 Solving -4.05 + 3.03g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4.05' to each side of the equation. -4.05 + 4.05 + 3.03g = 0 + 4.05 Combine like terms: -4.05 + 4.05 = 0.00 0.00 + 3.03g = 0 + 4.05 3.03g = 0 + 4.05 Combine like terms: 0 + 4.05 = 4.05 3.03g = 4.05 Divide each side by '3.03'. g = 1.336633663 Simplifying g = 1.336633663
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