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Simplifying 0.5(3g + -2) = 6g Reorder the terms: 0.5(-2 + 3g) = 6g (-2 * 0.5 + 3g * 0.5) = 6g (-1 + 1.5g) = 6g Solving -1 + 1.5g = 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -1 + 1.5g + -6g = 6g + -6g Combine like terms: 1.5g + -6g = -4.5g -1 + -4.5g = 6g + -6g Combine like terms: 6g + -6g = 0 -1 + -4.5g = 0 Add '1' to each side of the equation. -1 + 1 + -4.5g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4.5g = 0 + 1 -4.5g = 0 + 1 Combine like terms: 0 + 1 = 1 -4.5g = 1 Divide each side by '-4.5'. g = -0.2222222222 Simplifying g = -0.2222222222
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