6+4(r-2)-(r+7)=0

Solution for 6+4(r-2)-(r+7)=0 equation:

Simplifying
6 + 4(r + -2) + -1(r + 7) = 0

Reorder the terms:
6 + 4(-2 + r) + -1(r + 7) = 0
6 + (-2 * 4 + r * 4) + -1(r + 7) = 0
6 + (-8 + 4r) + -1(r + 7) = 0

Reorder the terms:
6 + -8 + 4r + -1(7 + r) = 0
6 + -8 + 4r + (7 * -1 + r * -1) = 0
6 + -8 + 4r + (-7 + -1r) = 0

Reorder the terms:
6 + -8 + -7 + 4r + -1r = 0

Combine like terms: 6 + -8 = -2
-2 + -7 + 4r + -1r = 0

Combine like terms: -2 + -7 = -9
-9 + 4r + -1r = 0

Combine like terms: 4r + -1r = 3r
-9 + 3r = 0

Solving
-9 + 3r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 3r = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3r = 0 + 9
3r = 0 + 9

Combine like terms: 0 + 9 = 9
3r = 9

Divide each side by '3'.
r = 3

Simplifying
r = 3