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Simplifying 0.4(g + -9) = 0.9(g + -4) Reorder the terms: 0.4(-9 + g) = 0.9(g + -4) (-9 * 0.4 + g * 0.4) = 0.9(g + -4) (-3.6 + 0.4g) = 0.9(g + -4) Reorder the terms: -3.6 + 0.4g = 0.9(-4 + g) -3.6 + 0.4g = (-4 * 0.9 + g * 0.9) -3.6 + 0.4g = (-3.6 + 0.9g) Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.4g = -3.6 + 3.6 + 0.9g Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.4g = -3.6 + 3.6 + 0.9g 0.4g = -3.6 + 3.6 + 0.9g Combine like terms: -3.6 + 3.6 = 0.0 0.4g = 0.0 + 0.9g 0.4g = 0.9g Solving 0.4g = 0.9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.9g' to each side of the equation. 0.4g + -0.9g = 0.9g + -0.9g Combine like terms: 0.4g + -0.9g = -0.5g -0.5g = 0.9g + -0.9g Combine like terms: 0.9g + -0.9g = 0.0 -0.5g = 0.0 Divide each side by '-0.5'. g = 0 Simplifying g = 0
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