7-6(c-1)+3(3-4c)=7+(7c+4)

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Solution for 7-6(c-1)+3(3-4c)=7+(7c+4) equation:


Simplifying
7 + -6(c + -1) + 3(3 + -4c) = 7 + (7c + 4)

Reorder the terms:
7 + -6(-1 + c) + 3(3 + -4c) = 7 + (7c + 4)
7 + (-1 * -6 + c * -6) + 3(3 + -4c) = 7 + (7c + 4)
7 + (6 + -6c) + 3(3 + -4c) = 7 + (7c + 4)
7 + 6 + -6c + (3 * 3 + -4c * 3) = 7 + (7c + 4)
7 + 6 + -6c + (9 + -12c) = 7 + (7c + 4)

Reorder the terms:
7 + 6 + 9 + -6c + -12c = 7 + (7c + 4)

Combine like terms: 7 + 6 = 13
13 + 9 + -6c + -12c = 7 + (7c + 4)

Combine like terms: 13 + 9 = 22
22 + -6c + -12c = 7 + (7c + 4)

Combine like terms: -6c + -12c = -18c
22 + -18c = 7 + (7c + 4)

Reorder the terms:
22 + -18c = 7 + (4 + 7c)

Remove parenthesis around (4 + 7c)
22 + -18c = 7 + 4 + 7c

Combine like terms: 7 + 4 = 11
22 + -18c = 11 + 7c

Solving
22 + -18c = 11 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
22 + -18c + -7c = 11 + 7c + -7c

Combine like terms: -18c + -7c = -25c
22 + -25c = 11 + 7c + -7c

Combine like terms: 7c + -7c = 0
22 + -25c = 11 + 0
22 + -25c = 11

Add '-22' to each side of the equation.
22 + -22 + -25c = 11 + -22

Combine like terms: 22 + -22 = 0
0 + -25c = 11 + -22
-25c = 11 + -22

Combine like terms: 11 + -22 = -11
-25c = -11

Divide each side by '-25'.
c = 0.44

Simplifying
c = 0.44

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