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Simplifying 2(24 + -1g) = 3(2g + -8) (24 * 2 + -1g * 2) = 3(2g + -8) (48 + -2g) = 3(2g + -8) Reorder the terms: 48 + -2g = 3(-8 + 2g) 48 + -2g = (-8 * 3 + 2g * 3) 48 + -2g = (-24 + 6g) Solving 48 + -2g = -24 + 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. 48 + -2g + -6g = -24 + 6g + -6g Combine like terms: -2g + -6g = -8g 48 + -8g = -24 + 6g + -6g Combine like terms: 6g + -6g = 0 48 + -8g = -24 + 0 48 + -8g = -24 Add '-48' to each side of the equation. 48 + -48 + -8g = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -8g = -24 + -48 -8g = -24 + -48 Combine like terms: -24 + -48 = -72 -8g = -72 Divide each side by '-8'. g = 9 Simplifying g = 9
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