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Simplifying 5(g + 3) = 3(1 + -2g) Reorder the terms: 5(3 + g) = 3(1 + -2g) (3 * 5 + g * 5) = 3(1 + -2g) (15 + 5g) = 3(1 + -2g) 15 + 5g = (1 * 3 + -2g * 3) 15 + 5g = (3 + -6g) Solving 15 + 5g = 3 + -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. 15 + 5g + 6g = 3 + -6g + 6g Combine like terms: 5g + 6g = 11g 15 + 11g = 3 + -6g + 6g Combine like terms: -6g + 6g = 0 15 + 11g = 3 + 0 15 + 11g = 3 Add '-15' to each side of the equation. 15 + -15 + 11g = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 11g = 3 + -15 11g = 3 + -15 Combine like terms: 3 + -15 = -12 11g = -12 Divide each side by '11'. g = -1.090909091 Simplifying g = -1.090909091
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