Question

What is the solution to
25+r = -5(2+8r)+6r

Answer 1

Explanation:

25+r = -5(2+8r)+6r

25+r= -10-40r+6r

25+r= -10-34r

34r +r = -25-10

35r= -35

r= -35/35

r= -1

Answer 2

`\huge\boxed{r=-1}`

Explanation:

To solve for this equation, our goal is to isolate the variable r on one side by reversing the equation.

We have the equation
`25 + r = -5(2+8r)+6r`. Let's simplify it.

Apply the distributive property on the right:

`25 + r = (-5 \cdot 2) + (84 \cdot -5) + 6r\\\\25+r = -10 - 40r + 6r`

Combine like terms:

`25 + r = -10 - 34r`

Add 34r to both sides:

`25 + r + 34r = -10 - 34r + 34r\\\\25 + 35r = -10`

Add 10 to both sides:

`25 + 35r + 10 = -10 + 10\\\\35 + 35r = 0`

Subtract 35 from both sides:

`35 + 35r - 35 = 0 - 35\\\\35r = -35`

Divide both sides by 35:

`35r / 35 = -35 / 35\\\\r = -1`

Hope this helped!