Algebra Examples

$7 z \cdot (2 x - y) + 2 x - y$

Step 1

Apply the distributive property.

$7 z (2 x) + 7 z (- y) + 2 x - y$

Step 2

Rewrite using the commutative property of multiplication.

$7 \cdot 2 z x + 7 z (- y) + 2 x - y$

Step 3

Rewrite using the commutative property of multiplication.

$7 \cdot 2 z x + 7 \cdot - 1 z y + 2 x - y$

Step 4

Simplify each term.

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Step 4.1

Multiply $7$ by $2$ .

$14 z x + 7 \cdot - 1 z y + 2 x - y$

Step 4.2

Multiply $7$ by $- 1$ .

$14 z x - 7 z y + 2 x - y$