7(f-3)=-4(1-2f)

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Solution for 7(f-3)=-4(1-2f) equation:


Simplifying
7(f + -3) = -4(1 + -2f)

Reorder the terms:
7(-3 + f) = -4(1 + -2f)
(-3 * 7 + f * 7) = -4(1 + -2f)
(-21 + 7f) = -4(1 + -2f)
-21 + 7f = (1 * -4 + -2f * -4)
-21 + 7f = (-4 + 8f)

Solving
-21 + 7f = -4 + 8f

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
-21 + 7f + -8f = -4 + 8f + -8f

Combine like terms: 7f + -8f = -1f
-21 + -1f = -4 + 8f + -8f

Combine like terms: 8f + -8f = 0
-21 + -1f = -4 + 0
-21 + -1f = -4

Add '21' to each side of the equation.
-21 + 21 + -1f = -4 + 21

Combine like terms: -21 + 21 = 0
0 + -1f = -4 + 21
-1f = -4 + 21

Combine like terms: -4 + 21 = 17
-1f = 17

Divide each side by '-1'.
f = -17

Simplifying
f = -17

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