(2c+35)-(5c-11)=-2

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Solution for (2c+35)-(5c-11)=-2 equation:


Simplifying
(2c + 35) + -1(5c + -11) = -2

Reorder the terms:
(35 + 2c) + -1(5c + -11) = -2

Remove parenthesis around (35 + 2c)
35 + 2c + -1(5c + -11) = -2

Reorder the terms:
35 + 2c + -1(-11 + 5c) = -2
35 + 2c + (-11 * -1 + 5c * -1) = -2
35 + 2c + (11 + -5c) = -2

Reorder the terms:
35 + 11 + 2c + -5c = -2

Combine like terms: 35 + 11 = 46
46 + 2c + -5c = -2

Combine like terms: 2c + -5c = -3c
46 + -3c = -2

Solving
46 + -3c = -2

Solving for variable 'c'.

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

Add '-46' to each side of the equation.
46 + -46 + -3c = -2 + -46

Combine like terms: 46 + -46 = 0
0 + -3c = -2 + -46
-3c = -2 + -46

Combine like terms: -2 + -46 = -48
-3c = -48

Divide each side by '-3'.
c = 16

Simplifying
c = 16

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