Answer:
2. 4(x + 3) = 4x + 12
To solve this equation, we can start by distributing the 4 on the left side of the equation:
4x + 12 = 4x + 12
Since the terms on both sides of the equation are the same, this equation is true for all values of x. Therefore, it is called an identity.
4. 3(d-8)= 3d
To solve this equation, we can start by distributing the 3 on the left side of the equation:
3d - 24 = 3d
Next, we can subtract 3d from both sides of the equation to isolate the variable:
-24 = 0
This equation is inconsistent since -24 does not equal 0. Therefore, there is no solution.
6. 6(n-1) = 2(2n + 4)
To solve this equation, we can start by distributing the 6 on the left side and the 2 on the right side:
6n - 6 = 4n + 8
Next, we can subtract 4n from both sides and add 6 to both sides to isolate the variable:
2n = 14
Finally, we can divide both sides of the equation by 2 to solve for n:
n = 7
8. 6v-4-3v + 59
To simplify this expression, we can combine like terms:
(6v - 3v) + (-4 + 59)
3v + 55
So, the simplified expression is 3v + 55.
Explanation:
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