16(5c-1)-18=78c+16

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Solution for 16(5c-1)-18=78c+16 equation:


Simplifying
16(5c + -1) + -18 = 78c + 16

Reorder the terms:
16(-1 + 5c) + -18 = 78c + 16
(-1 * 16 + 5c * 16) + -18 = 78c + 16
(-16 + 80c) + -18 = 78c + 16

Reorder the terms:
-16 + -18 + 80c = 78c + 16

Combine like terms: -16 + -18 = -34
-34 + 80c = 78c + 16

Reorder the terms:
-34 + 80c = 16 + 78c

Solving
-34 + 80c = 16 + 78c

Solving for variable 'c'.

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

Add '-78c' to each side of the equation.
-34 + 80c + -78c = 16 + 78c + -78c

Combine like terms: 80c + -78c = 2c
-34 + 2c = 16 + 78c + -78c

Combine like terms: 78c + -78c = 0
-34 + 2c = 16 + 0
-34 + 2c = 16

Add '34' to each side of the equation.
-34 + 34 + 2c = 16 + 34

Combine like terms: -34 + 34 = 0
0 + 2c = 16 + 34
2c = 16 + 34

Combine like terms: 16 + 34 = 50
2c = 50

Divide each side by '2'.
c = 25

Simplifying
c = 25

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