Solve the equation \(9(n + 3) = 7n - 3\) and show the steps.

9n + 27 = 7n -3 2n + 27 = -3 2n = -30 n = -15

Answered by annab | 2024-06-10

The value of n in the given **expression **is -15
What is an expression?
**Expressions **in math are mathematical statements that have a minimum of two terms **containing **numbers or variables, or both, **connected **by an operator in between.
An **expression **or mathematical **expression **is a finite combination of symbols that is well-formed according to rules that depend on the context.
For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.
Given that, an expression , 9(n+3) =7n-3, we need to find the value of n
Solving for n,
9(n+3) =7n-3
Using **distributive **property,
9n + 27 = 7n -3
Combining like terms, by transposing,
9n - 7n = -3-27
2n = -30
**Diving **by 2 both sides
n = -15
Hence, the value of n in the given **expression **is -15
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Answered by astha8579 | 2024-06-17

The solution to the equation 9 ( n + 3 ) = 7 n − 3 is n = − 15 . The equation is solved by distributing, rearranging, combining like terms, and solving for n . Following these steps systematically allows us to isolate and find the value of n .
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Answered by astha8579 | 2024-10-10