Answer:
There are 60 ways to arrange the letters in the word PRIOR.
Simplifying
5C + -4 + -2C + 1 = 8C + 2
Reorder the terms:
-4 + 1 + 5C + -2C = 8C + 2
Combine like terms: -4 + 1 = -3
-3 + 5C + -2C = 8C + 2
Combine like terms: 5C + -2C = 3C
-3 + 3C = 8C + 2
Reorder the terms:
-3 + 3C = 2 + 8C
Solving
-3 + 3C = 2 + 8C
Solving for variable 'C'.
Move all terms containing C to the left, all other terms to the right.
Add '-8C' to each side of the equation.
-3 + 3C + -8C = 2 + 8C + -8C Combine like terms: 3C + -8C = -5C<span>-3 + -5C = 2 + 8C + -8C
Combine like terms: 8C + -8C = 0
-3 + -5C = 2 + 0
-3 + -5C = 2
Add '3' to each side of the equation.
-3 + 3 + -5C = 2 + 3
Combine like terms: -3 + 3 = 0
0 + -5C = 2 + 3
-5C = 2 + 3
Combine like terms: 2 + 3 = 5
-5C = 5
Divide each side by '-5'.
C = -1
Simplifying
C = -1</span>
1) 14
2) -10
3) 23
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