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Simplifying 0.5(3g + -2) = 0.166667g Reorder the terms: 0.5(-2 + 3g) = 0.166667g (-2 * 0.5 + 3g * 0.5) = 0.166667g (-1 + 1.5g) = 0.166667g Solving -1 + 1.5g = 0.166667g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.166667g' to each side of the equation. -1 + 1.5g + -0.166667g = 0.166667g + -0.166667g Combine like terms: 1.5g + -0.166667g = 1.333333g -1 + 1.333333g = 0.166667g + -0.166667g Combine like terms: 0.166667g + -0.166667g = 0.000000 -1 + 1.333333g = 0.000000 Add '1' to each side of the equation. -1 + 1 + 1.333333g = 0.000000 + 1 Combine like terms: -1 + 1 = 0 0 + 1.333333g = 0.000000 + 1 1.333333g = 0.000000 + 1 Combine like terms: 0.000000 + 1 = 1 1.333333g = 1 Divide each side by '1.333333'. g = 0.7500001875 Simplifying g = 0.7500001875
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