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Simplifying 0.1(2 + -7g) = 7.1 + -3g (2 * 0.1 + -7g * 0.1) = 7.1 + -3g (0.2 + -0.7g) = 7.1 + -3g Solving 0.2 + -0.7g = 7.1 + -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. 0.2 + -0.7g + 3g = 7.1 + -3g + 3g Combine like terms: -0.7g + 3g = 2.3g 0.2 + 2.3g = 7.1 + -3g + 3g Combine like terms: -3g + 3g = 0 0.2 + 2.3g = 7.1 + 0 0.2 + 2.3g = 7.1 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 2.3g = 7.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 2.3g = 7.1 + -0.2 2.3g = 7.1 + -0.2 Combine like terms: 7.1 + -0.2 = 6.9 2.3g = 6.9 Divide each side by '2.3'. g = 3 Simplifying g = 3
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