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Simplifying 2(4g + -3) = 6(5g + 8) Reorder the terms: 2(-3 + 4g) = 6(5g + 8) (-3 * 2 + 4g * 2) = 6(5g + 8) (-6 + 8g) = 6(5g + 8) Reorder the terms: -6 + 8g = 6(8 + 5g) -6 + 8g = (8 * 6 + 5g * 6) -6 + 8g = (48 + 30g) Solving -6 + 8g = 48 + 30g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30g' to each side of the equation. -6 + 8g + -30g = 48 + 30g + -30g Combine like terms: 8g + -30g = -22g -6 + -22g = 48 + 30g + -30g Combine like terms: 30g + -30g = 0 -6 + -22g = 48 + 0 -6 + -22g = 48 Add '6' to each side of the equation. -6 + 6 + -22g = 48 + 6 Combine like terms: -6 + 6 = 0 0 + -22g = 48 + 6 -22g = 48 + 6 Combine like terms: 48 + 6 = 54 -22g = 54 Divide each side by '-22'. g = -2.454545455 Simplifying g = -2.454545455
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