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Simplifying (0.15)(0.5) + 0.35g = 0.10(g + 0.5) Multiply 0.15 * 0.5 0.075 + 0.35g = 0.10(g + 0.5) Reorder the terms: 0.075 + 0.35g = 0.10(0.5 + g) 0.075 + 0.35g = (0.5 * 0.10 + g * 0.10) 0.075 + 0.35g = (0.05 + 0.10g) Solving 0.075 + 0.35g = 0.05 + 0.10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.10g' to each side of the equation. 0.075 + 0.35g + -0.10g = 0.05 + 0.10g + -0.10g Combine like terms: 0.35g + -0.10g = 0.25g 0.075 + 0.25g = 0.05 + 0.10g + -0.10g Combine like terms: 0.10g + -0.10g = 0.00 0.075 + 0.25g = 0.05 + 0.00 0.075 + 0.25g = 0.05 Add '-0.075' to each side of the equation. 0.075 + -0.075 + 0.25g = 0.05 + -0.075 Combine like terms: 0.075 + -0.075 = 0.000 0.000 + 0.25g = 0.05 + -0.075 0.25g = 0.05 + -0.075 Combine like terms: 0.05 + -0.075 = -0.025 0.25g = -0.025 Divide each side by '0.25'. g = -0.1 Simplifying g = -0.1
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