Solve for m -46=21+3m

$- 46 = 21 + 3 m$

Rewrite the equation as $21 + 3 m = - 46$ .

$21 + 3 m = - 46$

Move all terms not containing $m$ to the right side of the equation.

Subtract $21$ from both sides of the equation.

$3 m = - 46 - 21$

Subtract $21$ from $- 46$ .

$3 m = - 67$

Divide each term in $3 m = - 67$ by $3$ and simplify.

Divide each term in $3 m = - 67$ by $3$ .

$\frac{3 m}{3} = \frac{- 67}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 m}{3} = \frac{- 67}{3}$

Divide $m$ by $1$ .

$m = \frac{- 67}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{67}{3}$

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{67}{3}$

Decimal Form:

$m = - 22.\overline{3}$

Mixed Number Form:

$m = - 22 \frac{1}{3}$