What is the answer to 19/4-3 1/2 a=-1/4 a+3/2 ?

The answer to 19/4-3 1/2 a=-1/4 a+3/2 is a=1

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19/4-3 1/2 a=-1/4 a+3/2

\frac{19}{4} - 3 \frac{1}{2} a = - \frac{1}{4} a + \frac{3}{2}

a = 1

Solution steps

\frac{19}{4} - 3 \frac{1}{2} a = - \frac{1}{4} a + \frac{3}{2}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

\frac{19}{4} - \frac{7}{2} a = - \frac{1}{4} a + \frac{3}{2}

Move

\frac{19}{4}

to the right side

- \frac{7}{2} a = - \frac{13}{4} - \frac{1}{4} a

Move

\frac{1}{4} a

to the left side

- \frac{13}{4} a = - \frac{13}{4}

Multiply both sides by

4

- 13 a = - 13

Divide both sides by

- 13

a = 1

2 + 3 M = - 4 + 4 M

x, 3 x + 2 y - z = 4

4 x - 4 = 2 x + 4

9 n - 6 = 5 n + 18

\frac{5}{8} m - \frac{3}{8} = \frac{1}{2} m + \frac{7}{8}

What is the answer to 19/4-3 1/2 a=-1/4 a+3/2 ?
The answer to 19/4-3 1/2 a=-1/4 a+3/2 is a=1
Solve for a: 19/4-3 1/2 a=-1/4 a+3/2
The solution is a=1