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Simplifying 9(-3g + 11) + 8 = -18 + -14g + -5 Reorder the terms: 9(11 + -3g) + 8 = -18 + -14g + -5 (11 * 9 + -3g * 9) + 8 = -18 + -14g + -5 (99 + -27g) + 8 = -18 + -14g + -5 Reorder the terms: 99 + 8 + -27g = -18 + -14g + -5 Combine like terms: 99 + 8 = 107 107 + -27g = -18 + -14g + -5 Reorder the terms: 107 + -27g = -18 + -5 + -14g Combine like terms: -18 + -5 = -23 107 + -27g = -23 + -14g Solving 107 + -27g = -23 + -14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '14g' to each side of the equation. 107 + -27g + 14g = -23 + -14g + 14g Combine like terms: -27g + 14g = -13g 107 + -13g = -23 + -14g + 14g Combine like terms: -14g + 14g = 0 107 + -13g = -23 + 0 107 + -13g = -23 Add '-107' to each side of the equation. 107 + -107 + -13g = -23 + -107 Combine like terms: 107 + -107 = 0 0 + -13g = -23 + -107 -13g = -23 + -107 Combine like terms: -23 + -107 = -130 -13g = -130 Divide each side by '-13'. g = 10 Simplifying g = 10
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