Answer:
d = c/12
Explanation:
You want to solve c = 12d for d.
Division property
The division property of equality tells you that an equation remains true if both sides of it are divided by the same (non-zero) number.
Here, we can divide both sides of the equation by 12 to find d:
c = 12d
c/12 = (12d)/12 . . . . . . divide both sides by 12
c/12 = (12/12)d . . . . . . rearrange factors
c/12 = 1·d . . . . . . . . . . a number times its inverse is 1
c/12 = d . . . . . . . . . . . 1 times d is d
d = c/12 . . . . . . . . . . . symmetric property of equality
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Additional comment
You know this already. If a whole pizza is 12 slices, then 1 slice is 1/12 of the pizza.
We use various properties of equality, of operations, and of numbers to ensure that the algebra makes logical sense. These tell us a number multiplied by its inverse is 1 (12/12 = 1), and 1 times anything does not change the value (1d = d). We can write the sides of an equality in either order and it is still the same equality: a = b ⇔ b = a. We also know that division is the same as multiplying by the reciprocal: (12÷12) = 12(1/12), and that factors can be multiplied in any order: (12d)(1/12) = (12)(1/12)d = (12/12)d.
The main rule is that whatever you do to one side of the equation must also be done to the other side (÷12 here).
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