Solve for m 8(3m-2)-7m=0

$8 (3 m - 2) - 7 m = 0$

Simplify $8 (3 m - 2) - 7 m$ .

Simplify each term.

Apply the distributive property.

$8 (3 m) + 8 \cdot - 2 - 7 m = 0$

Multiply $3$ by $8$ .

$24 m + 8 \cdot - 2 - 7 m = 0$

Multiply $8$ by $- 2$ .

$24 m - 16 - 7 m = 0$

Subtract $7 m$ from $24 m$ .

$17 m - 16 = 0$

Add $16$ to both sides of the equation.

$17 m = 16$

Divide each term in $17 m = 16$ by $17$ and simplify.

Divide each term in $17 m = 16$ by $17$ .

$\frac{17 m}{17} = \frac{16}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 m}{17} = \frac{16}{17}$

Divide $m$ by $1$ .

$m = \frac{16}{17}$

The result can be shown in multiple forms.

Exact Form:

$m = \frac{16}{17}$

Decimal Form:

$m = 0.94117647 \dots$