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Simplifying 5g + 2(-3 + 4g) = 1 + -1g 5g + (-3 * 2 + 4g * 2) = 1 + -1g 5g + (-6 + 8g) = 1 + -1g Reorder the terms: -6 + 5g + 8g = 1 + -1g Combine like terms: 5g + 8g = 13g -6 + 13g = 1 + -1g Solving -6 + 13g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -6 + 13g + g = 1 + -1g + g Combine like terms: 13g + g = 14g -6 + 14g = 1 + -1g + g Combine like terms: -1g + g = 0 -6 + 14g = 1 + 0 -6 + 14g = 1 Add '6' to each side of the equation. -6 + 6 + 14g = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 14g = 1 + 6 14g = 1 + 6 Combine like terms: 1 + 6 = 7 14g = 7 Divide each side by '14'. g = 0.5 Simplifying g = 0.5
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