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Simplifying 4(g + 5) + -3 = 6g + -13 Reorder the terms: 4(5 + g) + -3 = 6g + -13 (5 * 4 + g * 4) + -3 = 6g + -13 (20 + 4g) + -3 = 6g + -13 Reorder the terms: 20 + -3 + 4g = 6g + -13 Combine like terms: 20 + -3 = 17 17 + 4g = 6g + -13 Reorder the terms: 17 + 4g = -13 + 6g Solving 17 + 4g = -13 + 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. 17 + 4g + -6g = -13 + 6g + -6g Combine like terms: 4g + -6g = -2g 17 + -2g = -13 + 6g + -6g Combine like terms: 6g + -6g = 0 17 + -2g = -13 + 0 17 + -2g = -13 Add '-17' to each side of the equation. 17 + -17 + -2g = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -2g = -13 + -17 -2g = -13 + -17 Combine like terms: -13 + -17 = -30 -2g = -30 Divide each side by '-2'. g = 15 Simplifying g = 15
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