What is the answer to 4-2/3 k+7/6 k-1/2 =-k+2 ?

The answer to 4-2/3 k+7/6 k-1/2 =-k+2 is k=-1

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4-2/3 k+7/6 k-1/2 =-k+2

4 - \frac{2}{3} k + \frac{7}{6} k - \frac{1}{2} = - k + 2

k = - 1

Solution steps

4 - \frac{2}{3} k + \frac{7}{6} k - \frac{1}{2} = - k + 2

Combine the fractions

4 - \frac{1}{2} : \frac{7}{2}

\frac{7}{2} - \frac{2}{3} k + \frac{7}{6} k = - k + 2

Move

\frac{7}{2}

to the right side

- \frac{2}{3} k + \frac{7}{6} k = - k - \frac{3}{2}

Move

k

to the left side

\frac{3}{2} k = - \frac{3}{2}

Multiply both sides by

2

3 k = - 3

Divide both sides by

3

k = - 1

b, a = b + c

x, 3 x - 4 y = 20

x, 3 x - 4 y = - 8

x, - 2 x + y = - 2

y, x = 3 y - 4

What is the answer to 4-2/3 k+7/6 k-1/2 =-k+2 ?
The answer to 4-2/3 k+7/6 k-1/2 =-k+2 is k=-1
Solve for k: 4-2/3 k+7/6 k-1/2 =-k+2
The solution is k=-1