(r-4)-(4r+4)=3r

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


Simplifying
(r + -4) + -1(4r + 4) = 3r

Reorder the terms:
(-4 + r) + -1(4r + 4) = 3r

Remove parenthesis around (-4 + r)
-4 + r + -1(4r + 4) = 3r

Reorder the terms:
-4 + r + -1(4 + 4r) = 3r
-4 + r + (4 * -1 + 4r * -1) = 3r
-4 + r + (-4 + -4r) = 3r

Reorder the terms:
-4 + -4 + r + -4r = 3r

Combine like terms: -4 + -4 = -8
-8 + r + -4r = 3r

Combine like terms: r + -4r = -3r
-8 + -3r = 3r

Solving
-8 + -3r = 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.
-8 + -3r + -3r = 3r + -3r

Combine like terms: -3r + -3r = -6r
-8 + -6r = 3r + -3r

Combine like terms: 3r + -3r = 0
-8 + -6r = 0

Add '8' to each side of the equation.
-8 + 8 + -6r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6r = 0 + 8
-6r = 0 + 8

Combine like terms: 0 + 8 = 8
-6r = 8

Divide each side by '-6'.
r = -1.333333333

Simplifying
r = -1.333333333

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