5(3c-1)-6=13c+9

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Solution for 5(3c-1)-6=13c+9 equation:


Simplifying
5(3c + -1) + -6 = 13c + 9

Reorder the terms:
5(-1 + 3c) + -6 = 13c + 9
(-1 * 5 + 3c * 5) + -6 = 13c + 9
(-5 + 15c) + -6 = 13c + 9

Reorder the terms:
-5 + -6 + 15c = 13c + 9

Combine like terms: -5 + -6 = -11
-11 + 15c = 13c + 9

Reorder the terms:
-11 + 15c = 9 + 13c

Solving
-11 + 15c = 9 + 13c

Solving for variable 'c'.

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

Add '-13c' to each side of the equation.
-11 + 15c + -13c = 9 + 13c + -13c

Combine like terms: 15c + -13c = 2c
-11 + 2c = 9 + 13c + -13c

Combine like terms: 13c + -13c = 0
-11 + 2c = 9 + 0
-11 + 2c = 9

Add '11' to each side of the equation.
-11 + 11 + 2c = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 2c = 9 + 11
2c = 9 + 11

Combine like terms: 9 + 11 = 20
2c = 20

Divide each side by '2'.
c = 10

Simplifying
c = 10

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