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Simplifying -17g + -6g + 4(2g + 3) = (g + 11) * 4 + -1(8g + -5) Reorder the terms: -17g + -6g + 4(3 + 2g) = (g + 11) * 4 + -1(8g + -5) -17g + -6g + (3 * 4 + 2g * 4) = (g + 11) * 4 + -1(8g + -5) -17g + -6g + (12 + 8g) = (g + 11) * 4 + -1(8g + -5) Reorder the terms: 12 + -17g + -6g + 8g = (g + 11) * 4 + -1(8g + -5) Combine like terms: -17g + -6g = -23g 12 + -23g + 8g = (g + 11) * 4 + -1(8g + -5) Combine like terms: -23g + 8g = -15g 12 + -15g = (g + 11) * 4 + -1(8g + -5) Reorder the terms: 12 + -15g = (11 + g) * 4 + -1(8g + -5) Reorder the terms for easier multiplication: 12 + -15g = 4(11 + g) + -1(8g + -5) 12 + -15g = (11 * 4 + g * 4) + -1(8g + -5) 12 + -15g = (44 + 4g) + -1(8g + -5) Reorder the terms: 12 + -15g = 44 + 4g + -1(-5 + 8g) 12 + -15g = 44 + 4g + (-5 * -1 + 8g * -1) 12 + -15g = 44 + 4g + (5 + -8g) Reorder the terms: 12 + -15g = 44 + 5 + 4g + -8g Combine like terms: 44 + 5 = 49 12 + -15g = 49 + 4g + -8g Combine like terms: 4g + -8g = -4g 12 + -15g = 49 + -4g Solving 12 + -15g = 49 + -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. 12 + -15g + 4g = 49 + -4g + 4g Combine like terms: -15g + 4g = -11g 12 + -11g = 49 + -4g + 4g Combine like terms: -4g + 4g = 0 12 + -11g = 49 + 0 12 + -11g = 49 Add '-12' to each side of the equation. 12 + -12 + -11g = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -11g = 49 + -12 -11g = 49 + -12 Combine like terms: 49 + -12 = 37 -11g = 37 Divide each side by '-11'. g = -3.363636364 Simplifying g = -3.363636364
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