31-(4c+10)=16-5(c+2)

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Solution for 31-(4c+10)=16-5(c+2) equation:


Simplifying
31 + -1(4c + 10) = 16 + -5(c + 2)

Reorder the terms:
31 + -1(10 + 4c) = 16 + -5(c + 2)
31 + (10 * -1 + 4c * -1) = 16 + -5(c + 2)
31 + (-10 + -4c) = 16 + -5(c + 2)

Combine like terms: 31 + -10 = 21
21 + -4c = 16 + -5(c + 2)

Reorder the terms:
21 + -4c = 16 + -5(2 + c)
21 + -4c = 16 + (2 * -5 + c * -5)
21 + -4c = 16 + (-10 + -5c)

Combine like terms: 16 + -10 = 6
21 + -4c = 6 + -5c

Solving
21 + -4c = 6 + -5c

Solving for variable 'c'.

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

Add '5c' to each side of the equation.
21 + -4c + 5c = 6 + -5c + 5c

Combine like terms: -4c + 5c = 1c
21 + 1c = 6 + -5c + 5c

Combine like terms: -5c + 5c = 0
21 + 1c = 6 + 0
21 + 1c = 6

Add '-21' to each side of the equation.
21 + -21 + 1c = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 1c = 6 + -21
1c = 6 + -21

Combine like terms: 6 + -21 = -15
1c = -15

Divide each side by '1'.
c = -15

Simplifying
c = -15

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