Math Problem Statement

3, left parenthesis, minus, 0, point, 7, h, plus, 8, h, plus, 0, point, 5, right parenthesis, minus, 0, point, 5, h3(−0.7h+8h+0.5)−0.5h

Solution

Let's simplify the given expression step by step.

You provided: 3(0.7h+8h+0.5)0.5h3 \left( -0.7h + 8h + 0.5 \right) - 0.5h

Step 1: Distribute the 3 across the terms inside the parentheses.

3(0.7h)+38h+30.53 \cdot (-0.7h) + 3 \cdot 8h + 3 \cdot 0.5 =2.1h+24h+1.5= -2.1h + 24h + 1.5

So the expression becomes: 2.1h+24h+1.50.5h-2.1h + 24h + 1.5 - 0.5h

Step 2: Combine the terms involving hh.

(2.1h+24h0.5h)+1.5(-2.1h + 24h - 0.5h) + 1.5 =21.4h+1.5= 21.4h + 1.5

Final expression:

21.4h+1.521.4h + 1.5

This is the simplified version of the given expression.

Would you like more details or have any questions?

Related questions:

  1. What are the properties of the distributive law in algebra?
  2. How do you combine like terms involving variables?
  3. What is the general method to simplify linear expressions?
  4. How does multiplying decimals with variables work in algebra?
  5. How do you solve equations after simplifying algebraic expressions?

Tip:

Always check for like terms involving the same variable to combine them efficiently when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Distributive Property

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

Distributive Property
Combining Like Terms

Suitable Grade Level

Grades 7-9