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Simplifying 4(2g + 1) = 6g + 1 Reorder the terms: 4(1 + 2g) = 6g + 1 (1 * 4 + 2g * 4) = 6g + 1 (4 + 8g) = 6g + 1 Reorder the terms: 4 + 8g = 1 + 6g Solving 4 + 8g = 1 + 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. 4 + 8g + -6g = 1 + 6g + -6g Combine like terms: 8g + -6g = 2g 4 + 2g = 1 + 6g + -6g Combine like terms: 6g + -6g = 0 4 + 2g = 1 + 0 4 + 2g = 1 Add '-4' to each side of the equation. 4 + -4 + 2g = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 2g = 1 + -4 2g = 1 + -4 Combine like terms: 1 + -4 = -3 2g = -3 Divide each side by '2'. g = -1.5 Simplifying g = -1.5
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