6(5r+8)-2(r+2)=20

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Solution for 6(5r+8)-2(r+2)=20 equation: 


Simplifying
6(5r + 8) + -2(r + 2) = 20

Reorder the terms:
6(8 + 5r) + -2(r + 2) = 20
(8 * 6 + 5r * 6) + -2(r + 2) = 20
(48 + 30r) + -2(r + 2) = 20

Reorder the terms:
48 + 30r + -2(2 + r) = 20
48 + 30r + (2 * -2 + r * -2) = 20
48 + 30r + (-4 + -2r) = 20

Reorder the terms:
48 + -4 + 30r + -2r = 20

Combine like terms: 48 + -4 = 44
44 + 30r + -2r = 20

Combine like terms: 30r + -2r = 28r
44 + 28r = 20

Solving
44 + 28r = 20

Solving for variable 'r'.

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

Add '-44' to each side of the equation.
44 + -44 + 28r = 20 + -44

Combine like terms: 44 + -44 = 0
0 + 28r = 20 + -44
28r = 20 + -44

Combine like terms: 20 + -44 = -24
28r = -24

Divide each side by '28'.
r = -0.8571428571

Simplifying
r = -0.8571428571

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