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Simplifying 8.2(-4.4 + -8.9g) + -4.9 + -7.5g = 0 (-4.4 * 8.2 + -8.9g * 8.2) + -4.9 + -7.5g = 0 (-36.08 + -72.98g) + -4.9 + -7.5g = 0 Reorder the terms: -36.08 + -4.9 + -72.98g + -7.5g = 0 Combine like terms: -36.08 + -4.9 = -40.98 -40.98 + -72.98g + -7.5g = 0 Combine like terms: -72.98g + -7.5g = -80.48g -40.98 + -80.48g = 0 Solving -40.98 + -80.48g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40.98' to each side of the equation. -40.98 + 40.98 + -80.48g = 0 + 40.98 Combine like terms: -40.98 + 40.98 = 0.00 0.00 + -80.48g = 0 + 40.98 -80.48g = 0 + 40.98 Combine like terms: 0 + 40.98 = 40.98 -80.48g = 40.98 Divide each side by '-80.48'. g = -0.509194831 Simplifying g = -0.509194831
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