To solve the equation [tex]\(5p = -35\)[/tex], follow these algebraic steps:
1. Identify the equation: The given equation is [tex]\(5p = -35\)[/tex].
2. Isolate the variable [tex]\(p\)[/tex]:
- To isolate [tex]\(p\)[/tex], divide both sides of the equation by the coefficient of [tex]\(p\)[/tex], which is 5.
3. Perform the division:
- Dividing both sides of the equation by 5, we get:
[tex]\[
\frac{5p}{5} = \frac{-35}{5}
\][/tex]
4. Simplify both sides:
- The left-hand side simplifies to [tex]\(p\)[/tex] since [tex]\(\frac{5p}{5} = p\)[/tex].
- The right-hand side simplifies to [tex]\(-7\)[/tex] since [tex]\(\frac{-35}{5} = -7\)[/tex].
5. Write down the simplified equation:
- Thus, we obtain:
[tex]\[
p = -7
\][/tex]
Therefore, the algebraic step to solve the equation is to divide both sides of the equation by 5 to get [tex]\(p = -7\)[/tex], and the solution is [tex]\(p = -7\)[/tex].
