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