Solve each equation. 3[6-(h+2)]-6=4(-h+7)

Name: Problem 88, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-03-25T22:43:28-08:00
Duration: 1 min 12 s
Channel: Melissa Stefan
Description: Solve each equation. 3[6-(h+2)]-6=4(-h+7)

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Key Concepts

Distributive Property

The distributive property allows you to multiply a single term across terms within parentheses. It's used to simplify expressions where multiplication is applied to a sum or difference, converting an expression like a(b + c) into ab + ac. This is fundamental to simplifying and solving algebraic equations.

Combining Like Terms

Combining like terms involves consolidating terms in an algebraic expression that have the same variable raised to the same power. This process simplifies the equation and makes it easier to isolate the variable. It’s a critical step when reducing expressions to their simplest form before solving.

Inverse Operations

Inverse operations are operations that 'undo' each other, such as addition and subtraction or multiplication and division. They are used to isolate the variable in an equation by performing the reverse operation on both sides of the equation. This principle is essential for solving equations step by step.

Balancing Equations

Balancing equations means performing identical operations on both sides of an equation to maintain equality. This concept is crucial because any operation carried out on one side must be mirrored on the other side to preserve the equation's integrity while isolating the variable.

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