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Simplifying 0.2(4) + 0.7g = 0.5(g + -4) Multiply 0.2 * 4 0.8 + 0.7g = 0.5(g + -4) Reorder the terms: 0.8 + 0.7g = 0.5(-4 + g) 0.8 + 0.7g = (-4 * 0.5 + g * 0.5) 0.8 + 0.7g = (-2 + 0.5g) Solving 0.8 + 0.7g = -2 + 0.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.5g' to each side of the equation. 0.8 + 0.7g + -0.5g = -2 + 0.5g + -0.5g Combine like terms: 0.7g + -0.5g = 0.2g 0.8 + 0.2g = -2 + 0.5g + -0.5g Combine like terms: 0.5g + -0.5g = 0.0 0.8 + 0.2g = -2 + 0.0 0.8 + 0.2g = -2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.2g = -2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2g = -2 + -0.8 0.2g = -2 + -0.8 Combine like terms: -2 + -0.8 = -2.8 0.2g = -2.8 Divide each side by '0.2'. g = -14 Simplifying g = -14
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