To solve an equation, we need to isolate the variable and simplify out other terms. In these equations, we will use the distributive property.
-(1+4m)-6m=-81 We start with our equation.
-1-4m-6m=-81 We distribute our "-."
-1-10m=-81 We combine our like-terms.
+1 +1
-10m=-80 We add1 to both sides (to isolate the variable).
/-10 /-10
m=8 We divide by -10 on both sides (to isolate the variable).
With the math above, we know that the solution to the first equation is that m=8. Now let's begin the second.
-5(6v-7)-7=238 We start with our equation.
-30v+35-7=238 We distribute our "-5."
-30v+28=238 We combine our like-terms.
-28 -28
-30v=210 We subtract 28 from both sides (to isolate the variable).
/-30 /-30
v=-7 We divide by -30 on both sides (to isolate the variable).7
Using the math above, we can see that the solution to the second equation is v=-7.
