49-(2c+4)=4(c+6)+6

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Solution for 49-(2c+4)=4(c+6)+6 equation:


Simplifying
49 + -1(2c + 4) = 4(c + 6) + 6

Reorder the terms:
49 + -1(4 + 2c) = 4(c + 6) + 6
49 + (4 * -1 + 2c * -1) = 4(c + 6) + 6
49 + (-4 + -2c) = 4(c + 6) + 6

Combine like terms: 49 + -4 = 45
45 + -2c = 4(c + 6) + 6

Reorder the terms:
45 + -2c = 4(6 + c) + 6
45 + -2c = (6 * 4 + c * 4) + 6
45 + -2c = (24 + 4c) + 6

Reorder the terms:
45 + -2c = 24 + 6 + 4c

Combine like terms: 24 + 6 = 30
45 + -2c = 30 + 4c

Solving
45 + -2c = 30 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
45 + -2c + -4c = 30 + 4c + -4c

Combine like terms: -2c + -4c = -6c
45 + -6c = 30 + 4c + -4c

Combine like terms: 4c + -4c = 0
45 + -6c = 30 + 0
45 + -6c = 30

Add '-45' to each side of the equation.
45 + -45 + -6c = 30 + -45

Combine like terms: 45 + -45 = 0
0 + -6c = 30 + -45
-6c = 30 + -45

Combine like terms: 30 + -45 = -15
-6c = -15

Divide each side by '-6'.
c = 2.5

Simplifying
c = 2.5

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