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Simplifying (6g + -9) + 0.34(15 + -9g) = 0 Reorder the terms: (-9 + 6g) + 0.34(15 + -9g) = 0 Remove parenthesis around (-9 + 6g) -9 + 6g + 0.34(15 + -9g) = 0 -9 + 6g + (15 * 0.34 + -9g * 0.34) = 0 -9 + 6g + (5.1 + -3.06g) = 0 Reorder the terms: -9 + 5.1 + 6g + -3.06g = 0 Combine like terms: -9 + 5.1 = -3.9 -3.9 + 6g + -3.06g = 0 Combine like terms: 6g + -3.06g = 2.94g -3.9 + 2.94g = 0 Solving -3.9 + 2.94g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3.9' to each side of the equation. -3.9 + 3.9 + 2.94g = 0 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 2.94g = 0 + 3.9 2.94g = 0 + 3.9 Combine like terms: 0 + 3.9 = 3.9 2.94g = 3.9 Divide each side by '2.94'. g = 1.326530612 Simplifying g = 1.326530612
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