-(r+5)-(2+7r)+8r=3r-8

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Solution for -(r+5)-(2+7r)+8r=3r-8 equation:


Simplifying
-1(r + 5) + -1(2 + 7r) + 8r = 3r + -8

Reorder the terms:
-1(5 + r) + -1(2 + 7r) + 8r = 3r + -8
(5 * -1 + r * -1) + -1(2 + 7r) + 8r = 3r + -8
(-5 + -1r) + -1(2 + 7r) + 8r = 3r + -8
-5 + -1r + (2 * -1 + 7r * -1) + 8r = 3r + -8
-5 + -1r + (-2 + -7r) + 8r = 3r + -8

Reorder the terms:
-5 + -2 + -1r + -7r + 8r = 3r + -8

Combine like terms: -5 + -2 = -7
-7 + -1r + -7r + 8r = 3r + -8

Combine like terms: -1r + -7r = -8r
-7 + -8r + 8r = 3r + -8

Combine like terms: -8r + 8r = 0
-7 + 0 = 3r + -8
-7 = 3r + -8

Reorder the terms:
-7 = -8 + 3r

Solving
-7 = -8 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-7 + -3r = -8 + 3r + -3r

Combine like terms: 3r + -3r = 0
-7 + -3r = -8 + 0
-7 + -3r = -8

Add '7' to each side of the equation.
-7 + 7 + -3r = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -3r = -8 + 7
-3r = -8 + 7

Combine like terms: -8 + 7 = -1
-3r = -1

Divide each side by '-3'.
r = 0.3333333333

Simplifying
r = 0.3333333333

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