2(7r+5)=6(2r+5)+2r-20

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Solution for 2(7r+5)=6(2r+5)+2r-20 equation:


Simplifying
2(7r + 5) = 6(2r + 5) + 2r + -20

Reorder the terms:
2(5 + 7r) = 6(2r + 5) + 2r + -20
(5 * 2 + 7r * 2) = 6(2r + 5) + 2r + -20
(10 + 14r) = 6(2r + 5) + 2r + -20

Reorder the terms:
10 + 14r = 6(5 + 2r) + 2r + -20
10 + 14r = (5 * 6 + 2r * 6) + 2r + -20
10 + 14r = (30 + 12r) + 2r + -20

Reorder the terms:
10 + 14r = 30 + -20 + 12r + 2r

Combine like terms: 30 + -20 = 10
10 + 14r = 10 + 12r + 2r

Combine like terms: 12r + 2r = 14r
10 + 14r = 10 + 14r

Add '-10' to each side of the equation.
10 + -10 + 14r = 10 + -10 + 14r

Combine like terms: 10 + -10 = 0
0 + 14r = 10 + -10 + 14r
14r = 10 + -10 + 14r

Combine like terms: 10 + -10 = 0
14r = 0 + 14r
14r = 14r

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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