Algebra Examples

$96 g - 22 g + 82 = 3 (26 g - 61) + 9$

Step 1

Subtract $22 g$ from $96 g$ .

$74 g + 82 = 3 (26 g - 61) + 9$

Step 2

Simplify $3 (26 g - 61) + 9$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$74 g + 82 = 3 (26 g) + 3 \cdot - 61 + 9$

Step 2.1.2

Multiply $26$ by $3$ .

$74 g + 82 = 78 g + 3 \cdot - 61 + 9$

Step 2.1.3

Multiply $3$ by $- 61$ .

$74 g + 82 = 78 g - 183 + 9$

Step 2.2

Add $- 183$ and $9$ .

$74 g + 82 = 78 g - 174$

Step 3

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

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Step 3.1

Subtract $78 g$ from both sides of the equation.

$74 g + 82 - 78 g = - 174$

Step 3.2

Subtract $78 g$ from $74 g$ .

$- 4 g + 82 = - 174$

Step 4

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

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Step 4.1

Subtract $82$ from both sides of the equation.

$- 4 g = - 174 - 82$

Step 4.2

Subtract $82$ from $- 174$ .

$- 4 g = - 256$

Step 5

Divide each term in $- 4 g = - 256$ by $- 4$ and simplify.

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Step 5.1

Divide each term in $- 4 g = - 256$ by $- 4$ .

$\frac{- 4 g}{- 4} = \frac{- 256}{- 4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 4 g}{- 4} = \frac{- 256}{- 4}$

Step 5.2.1.2

Divide $g$ by $1$ .

$g = \frac{- 256}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 256$ by $- 4$ .

$g = 64$