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Simplifying 0.2(g + 50) + -6 = 0.4(3g + 20) Reorder the terms: 0.2(50 + g) + -6 = 0.4(3g + 20) (50 * 0.2 + g * 0.2) + -6 = 0.4(3g + 20) (10 + 0.2g) + -6 = 0.4(3g + 20) Reorder the terms: 10 + -6 + 0.2g = 0.4(3g + 20) Combine like terms: 10 + -6 = 4 4 + 0.2g = 0.4(3g + 20) Reorder the terms: 4 + 0.2g = 0.4(20 + 3g) 4 + 0.2g = (20 * 0.4 + 3g * 0.4) 4 + 0.2g = (8 + 1.2g) Solving 4 + 0.2g = 8 + 1.2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1.2g' to each side of the equation. 4 + 0.2g + -1.2g = 8 + 1.2g + -1.2g Combine like terms: 0.2g + -1.2g = -1g 4 + -1g = 8 + 1.2g + -1.2g Combine like terms: 1.2g + -1.2g = 0.0 4 + -1g = 8 + 0.0 4 + -1g = 8 Add '-4' to each side of the equation. 4 + -4 + -1g = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 8 + -4 -1g = 8 + -4 Combine like terms: 8 + -4 = 4 -1g = 4 Divide each side by '-1'. g = -4 Simplifying g = -4
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