Simplifying Equations Variables Both Sides

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Simplifying an equation means to reduce it to its simplest form by combining like terms and eliminating unnecessary elements.

A variable is a symbol, often a letter, that represents an unknown value in an equation.

The goal is to isolate the variable on one side of the equation to solve for its value.

To move a term from one side of an equation to the other, you perform the opposite operation (addition becomes subtraction, and vice versa).

The first step is to add $$7r$$ to both sides to combine the $$r$$ terms.

The simplified form is $$-13 + 12p = -73$$ .

Combine constants on both sides of the equation to simplify the equation further.

The simplified form is $$10t + 13 = 65$$ .

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.