Respuesta :

Space

Answer:

r = 4

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

-5 + 22 = r - 4 + 3r + 5

Step 2: Solve for r

  1. Combine like terms:                    17 = 4r + 1
  2. Subtract 1 on both sides:             16 = 4r
  3. Divide 4 on both sides:               4 = r
  4. Rewrite:                                        r = 4

Step 3: Check

Plug in r to verify it's a solution.

  1. Substitute:                    -5 + 22 = 4 - 4 + 3(4) + 5
  2. Add/Subtract:               17 = 3(4) + 5
  3. Multiply:                        17 = 12 + 5
  4. Add:                              17 = 17