8-(3/8)k=-4
Now try to learn the basic steps of algebra.
Subtract 8 from both sides. Why can we do this?
You would then divide both sides by -3/8 to have k by itself on the lefhand side.
To solve the equation 8 - (3/8)k = -4, we'll follow these steps:
Step 1: Start by subtracting 8 from both sides of the equation.
By doing this, we eliminate the constant term (8) from the left side of the equation.
So, the new equation becomes:
8 - (3/8)k - 8 = -4 - 8
Simplifying the left side: - (3/8)k - 8 is the same as - (3/8)k + (-8), which equals - (3/8)k - (8/1).
Similarly, simplifying the right side: -4 - 8 is the same as -4 + (-8), which equals -4 - 8.
The equation now becomes:
- (3/8)k - (8/1) = -4 - 8
Step 2: Combine like terms on both sides of the equation, if any.
On the left side, there are no like terms. So, we can't simplify it further.
On the right side, -4 - 8 is the same as -12.
The equation simplifies to:
- (3/8)k - (8/1) = -12
Step 3: Now, divide both sides of the equation by -(3/8) to isolate k on the left-hand side.
Dividing both sides by -(3/8) is the same as multiplying both sides by the reciprocal of -(3/8), which is -8/3.
So, we have:
(- (3/8)k - (8/1)) * (-8/3) = -12 * (-8/3)
Notice that by multiplying both sides by the reciprocal of -(3/8), we're canceling out the coefficient in front of k, leaving us with k by itself on the left side of the equation.
Simplifying the left side:
(- (3/8)k - (8/1)) * (-8/3) is the same as - (3/8)k * (-8/3) - (8/1) * (-8/3), which equals k.
Simplifying the right side:
-12 * (-8/3) is the same as +32.
The equation now becomes:
k = 32
So, the solution to the equation 8 - (3/8)k = -4 is k = 32.
In summary, we subtracted 8 from both sides to eliminate the constant term, then divided by -(3/8) to isolate k on the left side of the equation.