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Simplifying (6g + -9) + 0.3(15 + -9g) = 0 Reorder the terms: (-9 + 6g) + 0.3(15 + -9g) = 0 Remove parenthesis around (-9 + 6g) -9 + 6g + 0.3(15 + -9g) = 0 -9 + 6g + (15 * 0.3 + -9g * 0.3) = 0 -9 + 6g + (4.5 + -2.7g) = 0 Reorder the terms: -9 + 4.5 + 6g + -2.7g = 0 Combine like terms: -9 + 4.5 = -4.5 -4.5 + 6g + -2.7g = 0 Combine like terms: 6g + -2.7g = 3.3g -4.5 + 3.3g = 0 Solving -4.5 + 3.3g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + 3.3g = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 3.3g = 0 + 4.5 3.3g = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 3.3g = 4.5 Divide each side by '3.3'. g = 1.363636364 Simplifying g = 1.363636364
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