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