Question

3(5m+7)-2(m-11)=4(2m-13) solve m with solutions

Answer 1

Answer:

Answer is attached below

Answer 2

The value of m is $\frac{-95}{9}$.

Given:

An equation $3(5m+7)-2(m-11)=4(2m-13)$.

To Find:

The value of m.

Solution:

To solve such equations, the expression on the left-hand side and right-hand side are simplified and equated to find the asked variable.

Take the left-hand side of the equation. Remove the brackets using the distributive property $a(b+c)=ab+ac$.

$3(5m+7)-2(m-11)=15m+21-2m+22\\=13m+43$

Equate the above-obtained expression to the right-hand side and simplify to find m.

Remove the bracket from the right-hand side of the equation using the distributive property $a(b+c)=ab+ac$.

$13m+43=4m-52\\9m=-52-43\\9m=-95\\m=\frac{-95}{9}$

Thus, the value of m is $\frac{-95}{9}$.