40-(3c+4)=2(c+6)+6

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Solution for 40-(3c+4)=2(c+6)+6 equation: 


Simplifying
40 + -1(3c + 4) = 2(c + 6) + 6

Reorder the terms:
40 + -1(4 + 3c) = 2(c + 6) + 6
40 + (4 * -1 + 3c * -1) = 2(c + 6) + 6
40 + (-4 + -3c) = 2(c + 6) + 6

Combine like terms: 40 + -4 = 36
36 + -3c = 2(c + 6) + 6

Reorder the terms:
36 + -3c = 2(6 + c) + 6
36 + -3c = (6 * 2 + c * 2) + 6
36 + -3c = (12 + 2c) + 6

Reorder the terms:
36 + -3c = 12 + 6 + 2c

Combine like terms: 12 + 6 = 18
36 + -3c = 18 + 2c

Solving
36 + -3c = 18 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
36 + -3c + -2c = 18 + 2c + -2c

Combine like terms: -3c + -2c = -5c
36 + -5c = 18 + 2c + -2c

Combine like terms: 2c + -2c = 0
36 + -5c = 18 + 0
36 + -5c = 18

Add '-36' to each side of the equation.
36 + -36 + -5c = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -5c = 18 + -36
-5c = 18 + -36

Combine like terms: 18 + -36 = -18
-5c = -18

Divide each side by '-5'.
c = 3.6

Simplifying
c = 3.6

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