7(r-2)=r-26+4r

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Solution for 7(r-2)=r-26+4r equation:


Simplifying
7(r + -2) = r + -26 + 4r

Reorder the terms:
7(-2 + r) = r + -26 + 4r
(-2 * 7 + r * 7) = r + -26 + 4r
(-14 + 7r) = r + -26 + 4r

Reorder the terms:
-14 + 7r = -26 + r + 4r

Combine like terms: r + 4r = 5r
-14 + 7r = -26 + 5r

Solving
-14 + 7r = -26 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-14 + 7r + -5r = -26 + 5r + -5r

Combine like terms: 7r + -5r = 2r
-14 + 2r = -26 + 5r + -5r

Combine like terms: 5r + -5r = 0
-14 + 2r = -26 + 0
-14 + 2r = -26

Add '14' to each side of the equation.
-14 + 14 + 2r = -26 + 14

Combine like terms: -14 + 14 = 0
0 + 2r = -26 + 14
2r = -26 + 14

Combine like terms: -26 + 14 = -12
2r = -12

Divide each side by '2'.
r = -6

Simplifying
r = -6

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