Finite Math Examples

$- 0.8 r - (- 4 - 2 r) = 5 + 0.2 r$

Step 1

Simplify $- 0.8 r - (- 4 - 2 r)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 0.8 r - - 4 - (- 2 r) = 5 + 0.2 r$

Step 1.1.2

Multiply $- 1$ by $- 4$ .

$- 0.8 r + 4 - (- 2 r) = 5 + 0.2 r$

Step 1.1.3

Multiply $- 2$ by $- 1$ .

$- 0.8 r + 4 + 2 r = 5 + 0.2 r$

Step 1.2

Add $- 0.8 r$ and $2 r$ .

$1.2 r + 4 = 5 + 0.2 r$

Step 2

Move all terms containing $r$ to the left side of the equation.

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Step 2.1

Subtract $0.2 r$ from both sides of the equation.

$1.2 r + 4 - 0.2 r = 5$

Step 2.2

Subtract $0.2 r$ from $1.2 r$ .

$r + 4 = 5$

Step 3

Move all terms not containing $r$ to the right side of the equation.

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Step 3.1

Subtract $4$ from both sides of the equation.

$r = 5 - 4$

Step 3.2

Subtract $4$ from $5$ .

$r = 1$