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QUESTION IMAGE

solve for f. -f + 2 + 4f = 8 - 3f f = \\boxed{}

Question

solve for f.
-f + 2 + 4f = 8 - 3f
f = \boxed{}

Explanation:

Step1: Combine like terms on left

$-f + 4f = 3f$, so equation becomes $3f + 2 = 8 - 3f$

Step2: Add 3f to both sides

$3f + 3f + 2 = 8 - 3f + 3f$ → $6f + 2 = 8$

Step3: Subtract 2 from both sides

$6f + 2 - 2 = 8 - 2$ → $6f = 6$

Step4: Divide by 6

$\frac{6f}{6} = \frac{6}{6}$ → $f = 1$

Answer:

$1$