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Simplifying 4(3g + 104) + -90 = 504 + 6(g + -14) Reorder the terms: 4(104 + 3g) + -90 = 504 + 6(g + -14) (104 * 4 + 3g * 4) + -90 = 504 + 6(g + -14) (416 + 12g) + -90 = 504 + 6(g + -14) Reorder the terms: 416 + -90 + 12g = 504 + 6(g + -14) Combine like terms: 416 + -90 = 326 326 + 12g = 504 + 6(g + -14) Reorder the terms: 326 + 12g = 504 + 6(-14 + g) 326 + 12g = 504 + (-14 * 6 + g * 6) 326 + 12g = 504 + (-84 + 6g) Combine like terms: 504 + -84 = 420 326 + 12g = 420 + 6g Solving 326 + 12g = 420 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 326 + 12g + -6g = 420 + 6g + -6g Combine like terms: 12g + -6g = 6g 326 + 6g = 420 + 6g + -6g Combine like terms: 6g + -6g = 0 326 + 6g = 420 + 0 326 + 6g = 420 Add '-326' to each side of the equation. 326 + -326 + 6g = 420 + -326 Combine like terms: 326 + -326 = 0 0 + 6g = 420 + -326 6g = 420 + -326 Combine like terms: 420 + -326 = 94 6g = 94 Divide each side by '6'. g = 15.66666667 Simplifying g = 15.66666667
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