7c+2-4(2c+1)=33(c-3)

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Solution for 7c+2-4(2c+1)=33(c-3) equation:


Simplifying
7c + 2 + -4(2c + 1) = 33(c + -3)

Reorder the terms:
7c + 2 + -4(1 + 2c) = 33(c + -3)
7c + 2 + (1 * -4 + 2c * -4) = 33(c + -3)
7c + 2 + (-4 + -8c) = 33(c + -3)

Reorder the terms:
2 + -4 + 7c + -8c = 33(c + -3)

Combine like terms: 2 + -4 = -2
-2 + 7c + -8c = 33(c + -3)

Combine like terms: 7c + -8c = -1c
-2 + -1c = 33(c + -3)

Reorder the terms:
-2 + -1c = 33(-3 + c)
-2 + -1c = (-3 * 33 + c * 33)
-2 + -1c = (-99 + 33c)

Solving
-2 + -1c = -99 + 33c

Solving for variable 'c'.

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

Add '-33c' to each side of the equation.
-2 + -1c + -33c = -99 + 33c + -33c

Combine like terms: -1c + -33c = -34c
-2 + -34c = -99 + 33c + -33c

Combine like terms: 33c + -33c = 0
-2 + -34c = -99 + 0
-2 + -34c = -99

Add '2' to each side of the equation.
-2 + 2 + -34c = -99 + 2

Combine like terms: -2 + 2 = 0
0 + -34c = -99 + 2
-34c = -99 + 2

Combine like terms: -99 + 2 = -97
-34c = -97

Divide each side by '-34'.
c = 2.852941176

Simplifying
c = 2.852941176

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