4(r+8)-5(2r-1)=31

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Solution for 4(r+8)-5(2r-1)=31 equation: 


Simplifying
4(r + 8) + -5(2r + -1) = 31

Reorder the terms:
4(8 + r) + -5(2r + -1) = 31
(8 * 4 + r * 4) + -5(2r + -1) = 31
(32 + 4r) + -5(2r + -1) = 31

Reorder the terms:
32 + 4r + -5(-1 + 2r) = 31
32 + 4r + (-1 * -5 + 2r * -5) = 31
32 + 4r + (5 + -10r) = 31

Reorder the terms:
32 + 5 + 4r + -10r = 31

Combine like terms: 32 + 5 = 37
37 + 4r + -10r = 31

Combine like terms: 4r + -10r = -6r
37 + -6r = 31

Solving
37 + -6r = 31

Solving for variable 'r'.

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

Add '-37' to each side of the equation.
37 + -37 + -6r = 31 + -37

Combine like terms: 37 + -37 = 0
0 + -6r = 31 + -37
-6r = 31 + -37

Combine like terms: 31 + -37 = -6
-6r = -6

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

Simplifying
r = 1

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