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Simplifying 9(-3.7g + 6.44) = -3g + 6(-5.2g + 8.67) Reorder the terms: 9(6.44 + -3.7g) = -3g + 6(-5.2g + 8.67) (6.44 * 9 + -3.7g * 9) = -3g + 6(-5.2g + 8.67) (57.96 + -33.3g) = -3g + 6(-5.2g + 8.67) Reorder the terms: 57.96 + -33.3g = -3g + 6(8.67 + -5.2g) 57.96 + -33.3g = -3g + (8.67 * 6 + -5.2g * 6) 57.96 + -33.3g = -3g + (52.02 + -31.2g) Reorder the terms: 57.96 + -33.3g = 52.02 + -3g + -31.2g Combine like terms: -3g + -31.2g = -34.2g 57.96 + -33.3g = 52.02 + -34.2g Solving 57.96 + -33.3g = 52.02 + -34.2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '34.2g' to each side of the equation. 57.96 + -33.3g + 34.2g = 52.02 + -34.2g + 34.2g Combine like terms: -33.3g + 34.2g = 0.9g 57.96 + 0.9g = 52.02 + -34.2g + 34.2g Combine like terms: -34.2g + 34.2g = 0.0 57.96 + 0.9g = 52.02 + 0.0 57.96 + 0.9g = 52.02 Add '-57.96' to each side of the equation. 57.96 + -57.96 + 0.9g = 52.02 + -57.96 Combine like terms: 57.96 + -57.96 = 0.00 0.00 + 0.9g = 52.02 + -57.96 0.9g = 52.02 + -57.96 Combine like terms: 52.02 + -57.96 = -5.94 0.9g = -5.94 Divide each side by '0.9'. g = -6.6 Simplifying g = -6.6
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