4(3r+11)=7r-3r

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Solution for 4(3r+11)=7r-3r equation:


Simplifying
4(3r + 11) = 7r + -3r

Reorder the terms:
4(11 + 3r) = 7r + -3r
(11 * 4 + 3r * 4) = 7r + -3r
(44 + 12r) = 7r + -3r

Combine like terms: 7r + -3r = 4r
44 + 12r = 4r

Solving
44 + 12r = 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
44 + 12r + -4r = 4r + -4r

Combine like terms: 12r + -4r = 8r
44 + 8r = 4r + -4r

Combine like terms: 4r + -4r = 0
44 + 8r = 0

Add '-44' to each side of the equation.
44 + -44 + 8r = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 8r = 0 + -44
8r = 0 + -44

Combine like terms: 0 + -44 = -44
8r = -44

Divide each side by '8'.
r = -5.5

Simplifying
r = -5.5

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