Basic Math Examples

3 z + 1 - 3 (z - 1) = 4

$3 z + 1 - 3 (z - 1) = 4$

Step 1

Simplify

3 z + 1 - 3 (z - 1)

$3 z + 1 - 3 (z - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

3 z + 1 - 3 z - 3 \cdot - 1 = 4

$3 z + 1 - 3 z - 3 \cdot - 1 = 4$

Step 1.1.2

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

3 z + 1 - 3 z + 3 = 4

$3 z + 1 - 3 z + 3 = 4$

3 z + 1 - 3 z + 3 = 4

$3 z + 1 - 3 z + 3 = 4$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in

3 z + 1 - 3 z + 3

$3 z + 1 - 3 z + 3$ .

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Step 1.2.1.1

Subtract

3 z

$3 z$ from

3 z

$3 z$ .

0 + 1 + 3 = 4

$0 + 1 + 3 = 4$

Step 1.2.1.2

Add

0

$0$ and

1

$1$ .

1 + 3 = 4

$1 + 3 = 4$

1 + 3 = 4

$1 + 3 = 4$

Step 1.2.2

Add

1

$1$ and

3

$3$ .

4 = 4

$4 = 4$

4 = 4

$4 = 4$

4 = 4

$4 = 4$

Step 2

Since

4 = 4

$4 = 4$ , the equation will always be true for any value of

z

$z$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(- \infty, \infty)

$(- \infty, \infty)$