280=7(f-7)

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Solution for 280=7(f-7) equation:


Simplifying
280 = 7(f + -7)

Reorder the terms:
280 = 7(-7 + f)
280 = (-7 * 7 + f * 7)
280 = (-49 + 7f)

Solving
280 = -49 + 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
280 + -7f = -49 + 7f + -7f

Combine like terms: 7f + -7f = 0
280 + -7f = -49 + 0
280 + -7f = -49

Add '-280' to each side of the equation.
280 + -280 + -7f = -49 + -280

Combine like terms: 280 + -280 = 0
0 + -7f = -49 + -280
-7f = -49 + -280

Combine like terms: -49 + -280 = -329
-7f = -329

Divide each side by '-7'.
f = 47

Simplifying
f = 47

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