QuestionSimplify the expression: $-3 - 7(-3 - 6v)$ .

Studdy Solution

STEP 1

Assumptions1. The problem is a simple algebraic expression that needs to be simplified. . The order of operations, also known as BIDMAS or PEMAS, should be followed. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to apply the distributive property of multiplication over addition to the expression inside the parentheses. This means we multiply -7 by each term inside the parentheses.
$--7(--6v) = - -7 \cdot - -7 \cdot -6v$

STEP 3

Now, perform the multiplication operations.
$-3 -7 \cdot -3 -7 \cdot -6v = -3 +21 +42v$

STEP 4

Next, we rearrange the terms to put the variable term first, followed by the constant terms.
$-3 +21 +42v =42v -3 +21$

STEP 5

Finally, combine the constant terms to simplify the expression.
$42v -3 +21 =42v +18$ The simplified form of the given expression is $42v +18$ .

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