(13-b)+(24-c)=13

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Solution for (13-b)+(24-c)=13 equation:


Simplifying
(13 + -1b) + (24 + -1c) = 13

Remove parenthesis around (13 + -1b)
13 + -1b + (24 + -1c) = 13

Remove parenthesis around (24 + -1c)
13 + -1b + 24 + -1c = 13

Reorder the terms:
13 + 24 + -1b + -1c = 13

Combine like terms: 13 + 24 = 37
37 + -1b + -1c = 13

Solving
37 + -1b + -1c = 13

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -1b + -37 + -1c = 13 + -37

Reorder the terms:
37 + -37 + -1b + -1c = 13 + -37

Combine like terms: 37 + -37 = 0
0 + -1b + -1c = 13 + -37
-1b + -1c = 13 + -37

Combine like terms: 13 + -37 = -24
-1b + -1c = -24

Add 'c' to each side of the equation.
-1b + -1c + c = -24 + c

Combine like terms: -1c + c = 0
-1b + 0 = -24 + c
-1b = -24 + c

Divide each side by '-1'.
b = 24 + -1c

Simplifying
b = 24 + -1c

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