Answer:
The solution of the equation is b = -83
Equations and Expressions:
The fundamental concept of equations, which are mathematical statements that assert the equality between two expressions. An expression is a combination of numbers, variables, and operations. In this case, the equation −83 = 4b/4 involves a word on each side.
Isolating Variables:
Isolating a variable, which involves manipulating an equation to solve for a specific variable. To solve for "b" in the equation −83 = 4b/4, you need to perform operations that isolate "b" on one side of the equation.
Operations and Properties:
Basic arithmetic operations (addition, subtraction, multiplication, division) and algebraic properties (such as the distributive property) that are used to manipulate equations. In this equation, multiplication and division are the fundamental operations involved.
Step 1: Multiply both sides of the equation by 4 to isolate "b":
−83 * 4 = (4b/4) * 4
-332 = 4b
Step 2: Divide both sides of the equation by 4 to solve for "b":
4b / 4 = -332 / 4
b = -83
Therefore, the solution to the equation −83 = 4b/4 is b = -83.