(4r+4)=10-(2r+6)

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Solution for (4r+4)=10-(2r+6) equation:


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

Reorder the terms:
(4 + 4r) = 10 + -1(2r + 6)

Remove parenthesis around (4 + 4r)
4 + 4r = 10 + -1(2r + 6)

Reorder the terms:
4 + 4r = 10 + -1(6 + 2r)
4 + 4r = 10 + (6 * -1 + 2r * -1)
4 + 4r = 10 + (-6 + -2r)

Combine like terms: 10 + -6 = 4
4 + 4r = 4 + -2r

Add '-4' to each side of the equation.
4 + -4 + 4r = 4 + -4 + -2r

Combine like terms: 4 + -4 = 0
0 + 4r = 4 + -4 + -2r
4r = 4 + -4 + -2r

Combine like terms: 4 + -4 = 0
4r = 0 + -2r
4r = -2r

Solving
4r = -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
4r + 2r = -2r + 2r

Combine like terms: 4r + 2r = 6r
6r = -2r + 2r

Combine like terms: -2r + 2r = 0
6r = 0

Divide each side by '6'.
r = 0

Simplifying
r = 0

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