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Simplifying 0.4(g + -6) = 0.8(g + -3) Reorder the terms: 0.4(-6 + g) = 0.8(g + -3) (-6 * 0.4 + g * 0.4) = 0.8(g + -3) (-2.4 + 0.4g) = 0.8(g + -3) Reorder the terms: -2.4 + 0.4g = 0.8(-3 + g) -2.4 + 0.4g = (-3 * 0.8 + g * 0.8) -2.4 + 0.4g = (-2.4 + 0.8g) Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.4g = -2.4 + 2.4 + 0.8g Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.4g = -2.4 + 2.4 + 0.8g 0.4g = -2.4 + 2.4 + 0.8g Combine like terms: -2.4 + 2.4 = 0.0 0.4g = 0.0 + 0.8g 0.4g = 0.8g Solving 0.4g = 0.8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.8g' to each side of the equation. 0.4g + -0.8g = 0.8g + -0.8g Combine like terms: 0.4g + -0.8g = -0.4g -0.4g = 0.8g + -0.8g Combine like terms: 0.8g + -0.8g = 0.0 -0.4g = 0.0 Divide each side by '-0.4'. g = 0 Simplifying g = 0
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