Basic Math Examples

$6 (z - 5) = 6 z - 30$

Step 1

Simplify $6 (z - 5)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 6 (z - 5) = 6 z - 30$

Step 1.2

Simplify by adding zeros.

$6 (z - 5) = 6 z - 30$

Step 1.3

Apply the distributive property.

$6 z + 6 \cdot - 5 = 6 z - 30$

Step 1.4

Multiply $6$ by $- 5$ .

$6 z - 30 = 6 z - 30$

Step 2

Move all terms containing $z$ to the left side of the equation.

Tap for more steps...

Step 2.1

Subtract $6 z$ from both sides of the equation.

$6 z - 30 - 6 z = - 30$

Step 2.2

Combine the opposite terms in $6 z - 30 - 6 z$ .

Tap for more steps...

Step 2.2.1

Subtract $6 z$ from $6 z$ .

$0 - 30 = - 30$

Step 2.2.2

Subtract $30$ from $0$ .

$- 30 = - 30$

Step 3

Since $- 30 = - 30$ , the equation will always be true for any value of $z$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$