Certainly! Let's work through the expression step-by-step to find an equivalent expression by distributing the negative sign outside the parentheses:
Given expression:
[tex]\[ -(-5.2u - 2v) + 5 \][/tex]
Step 1: Distribute the negative sign outside the parentheses.
When a negative sign is outside the parentheses, we change the signs of each term inside the parentheses:
[tex]\[ -(-5.2u) - (-2v) = 5.2u + 2v \][/tex]
So, the expression becomes:
[tex]\[ 5.2u + 2v + 5 \][/tex]
Step 2: Combine like terms (if any).
In this case, there are no like terms to combine. Each term stands alone:
Final equivalent expression:
[tex]\[ 5.2u + 2v + 5 \][/tex]
Thus, the equivalent expression for [tex]\(-(-5.2u - 2v) + 5\)[/tex] is:
[tex]\[ 5.2u + 2v + 5 \][/tex]
