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Simplifying 20 + -2(2g + 5) = -19g + -14 + 17g Reorder the terms: 20 + -2(5 + 2g) = -19g + -14 + 17g 20 + (5 * -2 + 2g * -2) = -19g + -14 + 17g 20 + (-10 + -4g) = -19g + -14 + 17g Combine like terms: 20 + -10 = 10 10 + -4g = -19g + -14 + 17g Reorder the terms: 10 + -4g = -14 + -19g + 17g Combine like terms: -19g + 17g = -2g 10 + -4g = -14 + -2g Solving 10 + -4g = -14 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. 10 + -4g + 2g = -14 + -2g + 2g Combine like terms: -4g + 2g = -2g 10 + -2g = -14 + -2g + 2g Combine like terms: -2g + 2g = 0 10 + -2g = -14 + 0 10 + -2g = -14 Add '-10' to each side of the equation. 10 + -10 + -2g = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -2g = -14 + -10 -2g = -14 + -10 Combine like terms: -14 + -10 = -24 -2g = -24 Divide each side by '-2'. g = 12 Simplifying g = 12
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