Basic Math Examples

$14 + 6 r = 7 r + 6 r$

Step 1

Since $r$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 r + 6 r = 14 + 6 r$

Step 2

Add $7 r$ and $6 r$ .

$13 r = 14 + 6 r$

Step 3

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

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Step 3.1

Subtract $6 r$ from both sides of the equation.

$13 r - 6 r = 14$

Step 3.2

Subtract $6 r$ from $13 r$ .

$7 r = 14$

Step 4

Divide each term in $7 r = 14$ by $7$ and simplify.

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Step 4.1

Divide each term in $7 r = 14$ by $7$ .

$\frac{7 r}{7} = \frac{14}{7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7 r}{7} = \frac{14}{7}$

Step 4.2.1.2

Divide $r$ by $1$ .

$r = \frac{14}{7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $14$ by $7$ .

$r = 2$