Solve for h -110=13+3(4h-6)

$- 110 = 13 + 3 (4 h - 6)$

Step 1

Rewrite the equation as $13 + 3 (4 h - 6) = - 110$ .

$13 + 3 (4 h - 6) = - 110$

Step 2

Simplify $13 + 3 (4 h - 6)$ .

Simplify each term.

Apply the distributive property.

$13 + 3 (4 h) + 3 \cdot - 6 = - 110$

Multiply $4$ by $3$ .

$13 + 12 h + 3 \cdot - 6 = - 110$

Multiply $3$ by $- 6$ .

$13 + 12 h - 18 = - 110$

Subtract $18$ from $13$ .

$12 h - 5 = - 110$

Step 3

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

Add $5$ to both sides of the equation.

$12 h = - 110 + 5$

Add $- 110$ and $5$ .

$12 h = - 105$

Step 4

Divide each term in $12 h = - 105$ by $12$ and simplify.

Divide each term in $12 h = - 105$ by $12$ .

$\frac{12 h}{12} = \frac{- 105}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 h}{12} = \frac{- 105}{12}$

Divide $h$ by $1$ .

$h = \frac{- 105}{12}$

Simplify the right side.

Cancel the common factor of $- 105$ and $12$ .

Factor $3$ out of $- 105$ .

$h = \frac{3 (- 35)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$h = \frac{3 \cdot - 35}{3 \cdot 4}$

Cancel the common factor.

$h = \frac{3 \cdot - 35}{3 \cdot 4}$

Rewrite the expression.

$h = \frac{- 35}{4}$

Move the negative in front of the fraction.

$h = - \frac{35}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{35}{4}$

Decimal Form:

$h = - 8.75$

Mixed Number Form:

$h = - 8 \frac{3}{4}$

Solve for h -110=13+3(4h-6)

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