-(r-2)-8(1+6r)=43

Solution for -(r-2)-8(1+6r)=43 equation:

Simplifying
-1(r + -2) + -8(1 + 6r) = 43

Reorder the terms:
-1(-2 + r) + -8(1 + 6r) = 43
(-2 * -1 + r * -1) + -8(1 + 6r) = 43
(2 + -1r) + -8(1 + 6r) = 43
2 + -1r + (1 * -8 + 6r * -8) = 43
2 + -1r + (-8 + -48r) = 43

Reorder the terms:
2 + -8 + -1r + -48r = 43

Combine like terms: 2 + -8 = -6
-6 + -1r + -48r = 43

Combine like terms: -1r + -48r = -49r
-6 + -49r = 43

Solving
-6 + -49r = 43

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + -49r = 43 + 6

Combine like terms: -6 + 6 = 0
0 + -49r = 43 + 6
-49r = 43 + 6

Combine like terms: 43 + 6 = 49
-49r = 49

Divide each side by '-49'.
r = -1

Simplifying
r = -1