Basic Math Examples

$6 (p + 0.4) = 5 (p - 1.2)$

Step 1

Simplify $6 (p + 0.4)$ .

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Step 1.1

Rewrite.

$0 + 0 + 6 (p + 0.4) = 5 (p - 1.2)$

Step 1.2

Simplify by adding zeros.

$6 (p + 0.4) = 5 (p - 1.2)$

Step 1.3

Apply the distributive property.

$6 p + 6 \cdot 0.4 = 5 (p - 1.2)$

Step 1.4

Multiply $6$ by $0.4$ .

$6 p + 2.4 = 5 (p - 1.2)$

Step 2

Simplify $5 (p - 1.2)$ .

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Step 2.1

Apply the distributive property.

$6 p + 2.4 = 5 p + 5 \cdot - 1.2$

Step 2.2

Multiply $5$ by $- 1.2$ .

$6 p + 2.4 = 5 p - 6$

Step 3

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

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Step 3.1

Subtract $5 p$ from both sides of the equation.

$6 p + 2.4 - 5 p = - 6$

Step 3.2

Subtract $5 p$ from $6 p$ .

$p + 2.4 = - 6$

Step 4

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

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Step 4.1

Subtract $2.4$ from both sides of the equation.

$p = - 6 - 2.4$

Step 4.2

Subtract $2.4$ from $- 6$ .

$p = - 8.4$