78=3(f-51)

Solution for 78=3(f-51) equation:

Simplifying
78 = 3(f + -51)

Reorder the terms:
78 = 3(-51 + f)
78 = (-51 * 3 + f * 3)
78 = (-153 + 3f)

Solving
78 = -153 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
78 + -3f = -153 + 3f + -3f

Combine like terms: 3f + -3f = 0
78 + -3f = -153 + 0
78 + -3f = -153

Add '-78' to each side of the equation.
78 + -78 + -3f = -153 + -78

Combine like terms: 78 + -78 = 0
0 + -3f = -153 + -78
-3f = -153 + -78

Combine like terms: -153 + -78 = -231
-3f = -231

Divide each side by '-3'.
f = 77

Simplifying
f = 77