What is the answer to 3(1/4 k+1)=k-4 ?

The answer to 3(1/4 k+1)=k-4 is k=28

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3(1/4 k+1)=k-4

3 (\frac{1}{4} k + 1) = k - 4

k = 28

Solution steps

3 (\frac{1}{4} k + 1) = k - 4

Expand

3 (\frac{1}{4} k + 1) : \frac{3}{4} k + 3

\frac{3}{4} k + 3 = k - 4

Move

3

to the right side

\frac{3}{4} k = k - 7

Move

k

to the left side

- \frac{1}{4} k = - 7

Multiply both sides by

- 4

k = 28

3 (5 x + 4) + 5 x = - 8

\frac{x}{9} - 1 = - 2

52 = - 5 x - 3

x, - p x + r = - 8 x - 2

lo g_{10} (3) (4 x - 3) + lo g_{10} (3) (4 x - 1) = 1