(c-14)-20=3(i-14)

Solution for (c-14)-20=3(i-14) equation:

Simplifying
(c + -14) + -20 = 3(i + -14)

Reorder the terms:
(-14 + c) + -20 = 3(i + -14)

Remove parenthesis around (-14 + c)
-14 + c + -20 = 3(i + -14)

Reorder the terms:
-14 + -20 + c = 3(i + -14)

Combine like terms: -14 + -20 = -34
-34 + c = 3(i + -14)

Reorder the terms:
-34 + c = 3(-14 + i)
-34 + c = (-14 * 3 + i * 3)
-34 + c = (-42 + 3i)

Solving
-34 + c = -42 + 3i

Solving for variable 'c'.

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

Add '34' to each side of the equation.
-34 + 34 + c = -42 + 34 + 3i

Combine like terms: -34 + 34 = 0
0 + c = -42 + 34 + 3i
c = -42 + 34 + 3i

Combine like terms: -42 + 34 = -8
c = -8 + 3i

Simplifying
c = -8 + 3i