(2-c)+3(c-3)=-13

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Solution for (2-c)+3(c-3)=-13 equation:


Simplifying
(2 + -1c) + 3(c + -3) = -13

Remove parenthesis around (2 + -1c)
2 + -1c + 3(c + -3) = -13

Reorder the terms:
2 + -1c + 3(-3 + c) = -13
2 + -1c + (-3 * 3 + c * 3) = -13
2 + -1c + (-9 + 3c) = -13

Reorder the terms:
2 + -9 + -1c + 3c = -13

Combine like terms: 2 + -9 = -7
-7 + -1c + 3c = -13

Combine like terms: -1c + 3c = 2c
-7 + 2c = -13

Solving
-7 + 2c = -13

Solving for variable 'c'.

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

Add '7' to each side of the equation.
-7 + 7 + 2c = -13 + 7

Combine like terms: -7 + 7 = 0
0 + 2c = -13 + 7
2c = -13 + 7

Combine like terms: -13 + 7 = -6
2c = -6

Divide each side by '2'.
c = -3

Simplifying
c = -3

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