-3(c-2)-4=5-(c-1)

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Solution for -3(c-2)-4=5-(c-1) equation:


Simplifying
-3(c + -2) + -4 = 5 + -1(c + -1)

Reorder the terms:
-3(-2 + c) + -4 = 5 + -1(c + -1)
(-2 * -3 + c * -3) + -4 = 5 + -1(c + -1)
(6 + -3c) + -4 = 5 + -1(c + -1)

Reorder the terms:
6 + -4 + -3c = 5 + -1(c + -1)

Combine like terms: 6 + -4 = 2
2 + -3c = 5 + -1(c + -1)

Reorder the terms:
2 + -3c = 5 + -1(-1 + c)
2 + -3c = 5 + (-1 * -1 + c * -1)
2 + -3c = 5 + (1 + -1c)

Combine like terms: 5 + 1 = 6
2 + -3c = 6 + -1c

Solving
2 + -3c = 6 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
2 + -3c + c = 6 + -1c + c

Combine like terms: -3c + c = -2c
2 + -2c = 6 + -1c + c

Combine like terms: -1c + c = 0
2 + -2c = 6 + 0
2 + -2c = 6

Add '-2' to each side of the equation.
2 + -2 + -2c = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -2c = 6 + -2
-2c = 6 + -2

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

Divide each side by '-2'.
c = -2

Simplifying
c = -2

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