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Simplifying 17g + 48 = 8(8g + -11) + -13g Reorder the terms: 48 + 17g = 8(8g + -11) + -13g Reorder the terms: 48 + 17g = 8(-11 + 8g) + -13g 48 + 17g = (-11 * 8 + 8g * 8) + -13g 48 + 17g = (-88 + 64g) + -13g Combine like terms: 64g + -13g = 51g 48 + 17g = -88 + 51g Solving 48 + 17g = -88 + 51g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-51g' to each side of the equation. 48 + 17g + -51g = -88 + 51g + -51g Combine like terms: 17g + -51g = -34g 48 + -34g = -88 + 51g + -51g Combine like terms: 51g + -51g = 0 48 + -34g = -88 + 0 48 + -34g = -88 Add '-48' to each side of the equation. 48 + -48 + -34g = -88 + -48 Combine like terms: 48 + -48 = 0 0 + -34g = -88 + -48 -34g = -88 + -48 Combine like terms: -88 + -48 = -136 -34g = -136 Divide each side by '-34'. g = 4 Simplifying g = 4
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