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Simplifying 19(3g + 4) + 5(2g + 5) = 0 Reorder the terms: 19(4 + 3g) + 5(2g + 5) = 0 (4 * 19 + 3g * 19) + 5(2g + 5) = 0 (76 + 57g) + 5(2g + 5) = 0 Reorder the terms: 76 + 57g + 5(5 + 2g) = 0 76 + 57g + (5 * 5 + 2g * 5) = 0 76 + 57g + (25 + 10g) = 0 Reorder the terms: 76 + 25 + 57g + 10g = 0 Combine like terms: 76 + 25 = 101 101 + 57g + 10g = 0 Combine like terms: 57g + 10g = 67g 101 + 67g = 0 Solving 101 + 67g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + 67g = 0 + -101 Combine like terms: 101 + -101 = 0 0 + 67g = 0 + -101 67g = 0 + -101 Combine like terms: 0 + -101 = -101 67g = -101 Divide each side by '67'. g = -1.507462687 Simplifying g = -1.507462687
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