Solve each equation. 8 w+7=-3 w-15

Name: Problem 66, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-04-28T18:37:52-08:00
Duration: 2 min 33 s
Channel: Ankit Gupta
Description: Solve each equation. 8 w+7=-3 w-15

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Key Concepts

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. The equation represents a straight line when graphed on a coordinate plane and typically involves solving for the value of the variable that makes the equation true.

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This process simplifies the equation and is a key step in consolidating similar terms on one side of an equation to make solving for the variable more straightforward.

Properties of Equality

The properties of equality are rules that allow for the manipulation of both sides of an equation while maintaining balance. These include adding, subtracting, multiplying, or dividing both sides by the same number. They are fundamental in isolating the variable and solving equations.

Inverse Operations

Inverse operations are operations that reverse the effects of each other, such as addition and subtraction or multiplication and division. Using inverse operations is essential in isolating the variable to one side of the equation, which is a crucial step in solving linear equations.

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