10c-3(10-c)=61

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Solution for 10c-3(10-c)=61 equation:


Simplifying
10c + -3(10 + -1c) = 61
10c + (10 * -3 + -1c * -3) = 61
10c + (-30 + 3c) = 61

Reorder the terms:
-30 + 10c + 3c = 61

Combine like terms: 10c + 3c = 13c
-30 + 13c = 61

Solving
-30 + 13c = 61

Solving for variable 'c'.

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

Add '30' to each side of the equation.
-30 + 30 + 13c = 61 + 30

Combine like terms: -30 + 30 = 0
0 + 13c = 61 + 30
13c = 61 + 30

Combine like terms: 61 + 30 = 91
13c = 91

Divide each side by '13'.
c = 7

Simplifying
c = 7

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