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Simplifying 2(3g + 2) = 0.5(12g + g) Reorder the terms: 2(2 + 3g) = 0.5(12g + g) (2 * 2 + 3g * 2) = 0.5(12g + g) (4 + 6g) = 0.5(12g + g) Combine like terms: 12g + g = 13g 4 + 6g = 0.5(13g) Remove parenthesis around (13g) 4 + 6g = 0.5 * 13g Multiply 0.5 * 13 4 + 6g = 6.5g Solving 4 + 6g = 6.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6.5g' to each side of the equation. 4 + 6g + -6.5g = 6.5g + -6.5g Combine like terms: 6g + -6.5g = -0.5g 4 + -0.5g = 6.5g + -6.5g Combine like terms: 6.5g + -6.5g = 0.0 4 + -0.5g = 0.0 Add '-4' to each side of the equation. 4 + -4 + -0.5g = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5g = 0.0 + -4 -0.5g = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -0.5g = -4 Divide each side by '-0.5'. g = 8 Simplifying g = 8
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