9(5c-1)-10=43c+9

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Solution for 9(5c-1)-10=43c+9 equation:


Simplifying
9(5c + -1) + -10 = 43c + 9

Reorder the terms:
9(-1 + 5c) + -10 = 43c + 9
(-1 * 9 + 5c * 9) + -10 = 43c + 9
(-9 + 45c) + -10 = 43c + 9

Reorder the terms:
-9 + -10 + 45c = 43c + 9

Combine like terms: -9 + -10 = -19
-19 + 45c = 43c + 9

Reorder the terms:
-19 + 45c = 9 + 43c

Solving
-19 + 45c = 9 + 43c

Solving for variable 'c'.

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

Add '-43c' to each side of the equation.
-19 + 45c + -43c = 9 + 43c + -43c

Combine like terms: 45c + -43c = 2c
-19 + 2c = 9 + 43c + -43c

Combine like terms: 43c + -43c = 0
-19 + 2c = 9 + 0
-19 + 2c = 9

Add '19' to each side of the equation.
-19 + 19 + 2c = 9 + 19

Combine like terms: -19 + 19 = 0
0 + 2c = 9 + 19
2c = 9 + 19

Combine like terms: 9 + 19 = 28
2c = 28

Divide each side by '2'.
c = 14

Simplifying
c = 14

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