46=10-3(2c-4)

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Solution for 46=10-3(2c-4) equation: 


Simplifying
46 = 10 + -3(2c + -4)

Reorder the terms:
46 = 10 + -3(-4 + 2c)
46 = 10 + (-4 * -3 + 2c * -3)
46 = 10 + (12 + -6c)

Combine like terms: 10 + 12 = 22
46 = 22 + -6c

Solving
46 = 22 + -6c

Solving for variable 'c'.

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

Add '6c' to each side of the equation.
46 + 6c = 22 + -6c + 6c

Combine like terms: -6c + 6c = 0
46 + 6c = 22 + 0
46 + 6c = 22

Add '-46' to each side of the equation.
46 + -46 + 6c = 22 + -46

Combine like terms: 46 + -46 = 0
0 + 6c = 22 + -46
6c = 22 + -46

Combine like terms: 22 + -46 = -24
6c = -24

Divide each side by '6'.
c = -4

Simplifying
c = -4

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