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Simplifying -17 + -6g + 4(2g + 3) = -1(g + 11) * 4 + -1(8g + -5) Reorder the terms: -17 + -6g + 4(3 + 2g) = -1(g + 11) * 4 + -1(8g + -5) -17 + -6g + (3 * 4 + 2g * 4) = -1(g + 11) * 4 + -1(8g + -5) -17 + -6g + (12 + 8g) = -1(g + 11) * 4 + -1(8g + -5) Reorder the terms: -17 + 12 + -6g + 8g = -1(g + 11) * 4 + -1(8g + -5) Combine like terms: -17 + 12 = -5 -5 + -6g + 8g = -1(g + 11) * 4 + -1(8g + -5) Combine like terms: -6g + 8g = 2g -5 + 2g = -1(g + 11) * 4 + -1(8g + -5) Reorder the terms: -5 + 2g = -1(11 + g) * 4 + -1(8g + -5) Reorder the terms for easier multiplication: -5 + 2g = -1 * 4(11 + g) + -1(8g + -5) Multiply -1 * 4 -5 + 2g = -4(11 + g) + -1(8g + -5) -5 + 2g = (11 * -4 + g * -4) + -1(8g + -5) -5 + 2g = (-44 + -4g) + -1(8g + -5) Reorder the terms: -5 + 2g = -44 + -4g + -1(-5 + 8g) -5 + 2g = -44 + -4g + (-5 * -1 + 8g * -1) -5 + 2g = -44 + -4g + (5 + -8g) Reorder the terms: -5 + 2g = -44 + 5 + -4g + -8g Combine like terms: -44 + 5 = -39 -5 + 2g = -39 + -4g + -8g Combine like terms: -4g + -8g = -12g -5 + 2g = -39 + -12g Solving -5 + 2g = -39 + -12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12g' to each side of the equation. -5 + 2g + 12g = -39 + -12g + 12g Combine like terms: 2g + 12g = 14g -5 + 14g = -39 + -12g + 12g Combine like terms: -12g + 12g = 0 -5 + 14g = -39 + 0 -5 + 14g = -39 Add '5' to each side of the equation. -5 + 5 + 14g = -39 + 5 Combine like terms: -5 + 5 = 0 0 + 14g = -39 + 5 14g = -39 + 5 Combine like terms: -39 + 5 = -34 14g = -34 Divide each side by '14'. g = -2.428571429 Simplifying g = -2.428571429
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