Basic Math Examples

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

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $- 3$ by $- 1$ .

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

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $3 z + 1 - 3 z + 3$ .

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Step 1.2.1.1

Subtract $3 z$ from $3 z$ .

$0 + 1 + 3 = 4$

Step 1.2.1.2

Add $0$ and $1$ .

$1 + 3 = 4$

Step 1.2.2

Add $1$ and $3$ .

$4 = 4$

Step 2

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

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$