Algebra Examples

$- 3 \div 3 (1 + - 4 (- 6 + 5) - (- 6 + 1))$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$- 3 \div 3 (1 - 4 (- 6 + 5) - (- 6 + 1))$

Step 2

Divide $- 3$ by $3$ .

$- 1 (1 - 4 (- 6 + 5) - (- 6 + 1))$

Step 3

Simplify each term.

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Step 3.1

Add $- 6$ and $5$ .

$- 1 (1 - 4 \cdot - 1 - (- 6 + 1))$

Step 3.2

Multiply $- 4$ by $- 1$ .

$- 1 (1 + 4 - (- 6 + 1))$

Step 3.3

Add $- 6$ and $1$ .

$- 1 (1 + 4 - - 5)$

Step 3.4

Multiply $- 1$ by $- 5$ .

$- 1 (1 + 4 + 5)$

Step 4

Simplify the expression.

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Step 4.1

Add $1$ and $4$ .

$- 1 (5 + 5)$

Step 4.2

Add $5$ and $5$ .

$- 1 \cdot 10$

Step 4.3

Multiply $- 1$ by $10$ .

$- 10$