Math Problem Statement

-3(w + (-4)) = 3

Solution

Let's solve the equation from the image:

The given equation is:

3(w+(4))=3-3(w + (-4)) = 3

This simplifies to:

3(w4)=3-3(w - 4) = 3

Step-by-step solution:

  1. Distribute the 3-3 on the left-hand side: 3w+(34)=3-3 \cdot w + (-3 \cdot -4) = 3 Which simplifies to: 3w+12=3-3w + 12 = 3

  2. Move the constant term to the right-hand side by subtracting 12 from both sides: 3w=312-3w = 3 - 12 Simplifies to: 3w=9-3w = -9

  3. Solve for ww by dividing both sides by 3-3: w=93w = \frac{-9}{-3} Which simplifies to: w=3w = 3

Thus, the solution is:

w=3w = 3

Let me know if you need more details or have any questions.

Here are 5 related questions for practice:

  1. Solve: 2(x+5)=6-2(x + 5) = 6
  2. Solve: 54(y3)=15 - 4(y - 3) = 1
  3. Solve: 4(z+6)=124(z + 6) = -12
  4. Solve: 7(a2)=14-7(a - 2) = 14
  5. Solve: (2(b + 8) - 3

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

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

Theorems

Basic properties of equality

Suitable Grade Level

Grades 7-8