4(r-3)+2(r-7)=-32

Solution for 4(r-3)+2(r-7)=-32 equation:

Simplifying
4(r + -3) + 2(r + -7) = -32

Reorder the terms:
4(-3 + r) + 2(r + -7) = -32
(-3 * 4 + r * 4) + 2(r + -7) = -32
(-12 + 4r) + 2(r + -7) = -32

Reorder the terms:
-12 + 4r + 2(-7 + r) = -32
-12 + 4r + (-7 * 2 + r * 2) = -32
-12 + 4r + (-14 + 2r) = -32

Reorder the terms:
-12 + -14 + 4r + 2r = -32

Combine like terms: -12 + -14 = -26
-26 + 4r + 2r = -32

Combine like terms: 4r + 2r = 6r
-26 + 6r = -32

Solving
-26 + 6r = -32

Solving for variable 'r'.

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

Add '26' to each side of the equation.
-26 + 26 + 6r = -32 + 26

Combine like terms: -26 + 26 = 0
0 + 6r = -32 + 26
6r = -32 + 26

Combine like terms: -32 + 26 = -6
6r = -6

Divide each side by '6'.
r = -1

Simplifying
r = -1