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Simplifying 5g + 7 = 3g + 1 Reorder the terms: 7 + 5g = 3g + 1 Reorder the terms: 7 + 5g = 1 + 3g Solving 7 + 5g = 1 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 7 + 5g + -3g = 1 + 3g + -3g Combine like terms: 5g + -3g = 2g 7 + 2g = 1 + 3g + -3g Combine like terms: 3g + -3g = 0 7 + 2g = 1 + 0 7 + 2g = 1 Add '-7' to each side of the equation. 7 + -7 + 2g = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2g = 1 + -7 2g = 1 + -7 Combine like terms: 1 + -7 = -6 2g = -6 Divide each side by '2'. g = -3 Simplifying g = -3
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