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Simplifying 7(2g + 17) = 14 + 4g Reorder the terms: 7(17 + 2g) = 14 + 4g (17 * 7 + 2g * 7) = 14 + 4g (119 + 14g) = 14 + 4g Solving 119 + 14g = 14 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 119 + 14g + -4g = 14 + 4g + -4g Combine like terms: 14g + -4g = 10g 119 + 10g = 14 + 4g + -4g Combine like terms: 4g + -4g = 0 119 + 10g = 14 + 0 119 + 10g = 14 Add '-119' to each side of the equation. 119 + -119 + 10g = 14 + -119 Combine like terms: 119 + -119 = 0 0 + 10g = 14 + -119 10g = 14 + -119 Combine like terms: 14 + -119 = -105 10g = -105 Divide each side by '10'. g = -10.5 Simplifying g = -10.5
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