Subtract: (3g−4)−2(3g+4).
To subtract (3g-4) - 2(3g+4), we will first distribute the -2 to the terms inside the parentheses:
(3g-4) - 2(3g+4)
= 3g - 4 - 2 * 3g - 2 * 4
= 3g - 4 - 6g - 8
Now, we can combine like terms:
= (3g - 6g) + (-4 - 8)
= -3g - 12
Therefore, (3g-4) - 2(3g+4) simplifies to -3g - 12.
To subtract (3g−4)−2(3g+4), we need to distribute the "-2" to each term inside the parentheses first. This gives us:
(3g-4) - 2 * 3g - 2 * 4
Simplifying further:
= 3g - 4 - 6g - 8
Next, combine like terms:
= (3g - 6g) + (-4 - 8)
= -3g - 12
To subtract the given expression (3g - 4) - 2(3g + 4), we can follow the process of simplifying the expression step by step:
Step 1: Distribute the negative sign to the terms inside the parentheses of 2(3g + 4)
2(3g + 4) becomes 6g + 8 (multiply -2 by 3g and -2 by 4)
Step 2: Now we can rewrite the expression as (3g - 4) - (6g + 8)
Step 3: Distribute the negative sign to the terms inside the second set of parentheses (6g + 8)
- (6g + 8) becomes -6g - 8 (change the sign of each term inside parentheses)
Step 4: Now we can rewrite the expression as (3g - 4) - 6g - 8
Step 5: Combine like terms by adding or subtracting similar terms
In this step, we combine 3g and -6g to get -3g, and -4 and -8 to get -12
Step 6: The final simplified expression is -3g - 12
Therefore, the subtraction of the expression (3g - 4) - 2(3g + 4) is -3g - 12.