-5r-5(2-r)=6(1-4r)+8r

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Solution for -5r-5(2-r)=6(1-4r)+8r equation:


Simplifying
-5r + -5(2 + -1r) = 6(1 + -4r) + 8r
-5r + (2 * -5 + -1r * -5) = 6(1 + -4r) + 8r
-5r + (-10 + 5r) = 6(1 + -4r) + 8r

Reorder the terms:
-10 + -5r + 5r = 6(1 + -4r) + 8r

Combine like terms: -5r + 5r = 0
-10 + 0 = 6(1 + -4r) + 8r
-10 = 6(1 + -4r) + 8r
-10 = (1 * 6 + -4r * 6) + 8r
-10 = (6 + -24r) + 8r

Combine like terms: -24r + 8r = -16r
-10 = 6 + -16r

Solving
-10 = 6 + -16r

Solving for variable 'r'.

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

Add '16r' to each side of the equation.
-10 + 16r = 6 + -16r + 16r

Combine like terms: -16r + 16r = 0
-10 + 16r = 6 + 0
-10 + 16r = 6

Add '10' to each side of the equation.
-10 + 10 + 16r = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 16r = 6 + 10
16r = 6 + 10

Combine like terms: 6 + 10 = 16
16r = 16

Divide each side by '16'.
r = 1

Simplifying
r = 1

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