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Simplifying 7(2 + 5g) + 2(3 + -1g) = 0 (2 * 7 + 5g * 7) + 2(3 + -1g) = 0 (14 + 35g) + 2(3 + -1g) = 0 14 + 35g + (3 * 2 + -1g * 2) = 0 14 + 35g + (6 + -2g) = 0 Reorder the terms: 14 + 6 + 35g + -2g = 0 Combine like terms: 14 + 6 = 20 20 + 35g + -2g = 0 Combine like terms: 35g + -2g = 33g 20 + 33g = 0 Solving 20 + 33g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 33g = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 33g = 0 + -20 33g = 0 + -20 Combine like terms: 0 + -20 = -20 33g = -20 Divide each side by '33'. g = -0.6060606061 Simplifying g = -0.6060606061
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