Simplify 3(a+4)-2(a-1)

Simplify algebraic expressions by combining like terms and reducing.

Expression

Answer

a + 14

3(a+4)-2(a-1)

Step 1 — Distribute each term

Multiply each coefficient by every term inside its parentheses:

3(a+4) = 3a + 12

−2(a-1) = -2a + 2

Step 2 — Combine like terms

Group the like terms together:

(3a − 2a) + (12 + 2)

3a − 2a = a

12 + 2 = 14

The expression becomes:

a + 14

To simplify 3(a+4)-2(a-1), combine like terms and reduce. The simplified form is a + 14.

This is a algebraic simplification — we combine like terms, reduce fractions, and write the expression in its simplest form.

What is the answer to 3(a+4)-2(a-1)?
The answer is a + 14.

What method is used?
combining like terms (terms with the same variable and exponent) and simplifying coefficients.

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