5c-(c-1)=7(c+4)

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Solution for 5c-(c-1)=7(c+4) equation:


Simplifying
5c + -1(c + -1) = 7(c + 4)

Reorder the terms:
5c + -1(-1 + c) = 7(c + 4)
5c + (-1 * -1 + c * -1) = 7(c + 4)
5c + (1 + -1c) = 7(c + 4)

Reorder the terms:
1 + 5c + -1c = 7(c + 4)

Combine like terms: 5c + -1c = 4c
1 + 4c = 7(c + 4)

Reorder the terms:
1 + 4c = 7(4 + c)
1 + 4c = (4 * 7 + c * 7)
1 + 4c = (28 + 7c)

Solving
1 + 4c = 28 + 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.
1 + 4c + -7c = 28 + 7c + -7c

Combine like terms: 4c + -7c = -3c
1 + -3c = 28 + 7c + -7c

Combine like terms: 7c + -7c = 0
1 + -3c = 28 + 0
1 + -3c = 28

Add '-1' to each side of the equation.
1 + -1 + -3c = 28 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 28 + -1
-3c = 28 + -1

Combine like terms: 28 + -1 = 27
-3c = 27

Divide each side by '-3'.
c = -9

Simplifying
c = -9

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