Trigonometry Examples

$- (4 m + 2) - (- 3 m - 5) = 3$

Step 1

Subtract $3$ from both sides of the equation.

$- (4 m + 2) - (- 3 m - 5) - 3 = 0$

Step 2

Simplify $- (4 m + 2) - (- 3 m - 5) - 3$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- (4 m) - 1 \cdot 2 - (- 3 m - 5) - 3 = 0$

Step 2.1.2

Multiply $4$ by $- 1$ .

$- 4 m - 1 \cdot 2 - (- 3 m - 5) - 3 = 0$

Step 2.1.3

Multiply $- 1$ by $2$ .

$- 4 m - 2 - (- 3 m - 5) - 3 = 0$

Step 2.1.4

Apply the distributive property.

$- 4 m - 2 - (- 3 m) - - 5 - 3 = 0$

Step 2.1.5

Multiply $- 3$ by $- 1$ .

$- 4 m - 2 + 3 m - - 5 - 3 = 0$

Step 2.1.6

Multiply $- 1$ by $- 5$ .

$- 4 m - 2 + 3 m + 5 - 3 = 0$

Step 2.2

Add $- 4 m$ and $3 m$ .

$- m - 2 + 5 - 3 = 0$

Step 2.3

Add $- 2$ and $5$ .

$- m + 3 - 3 = 0$

Step 2.4

Combine the opposite terms in $- m + 3 - 3$ .

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Step 2.4.1

Subtract $3$ from $3$ .

$- m + 0 = 0$

Step 2.4.2

Add $- m$ and $0$ .

$- m = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.