26-7r=-2r-6(2r+5)

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Solution for 26-7r=-2r-6(2r+5) equation: 


Simplifying
26 + -7r = -2r + -6(2r + 5)

Reorder the terms:
26 + -7r = -2r + -6(5 + 2r)
26 + -7r = -2r + (5 * -6 + 2r * -6)
26 + -7r = -2r + (-30 + -12r)

Reorder the terms:
26 + -7r = -30 + -2r + -12r

Combine like terms: -2r + -12r = -14r
26 + -7r = -30 + -14r

Solving
26 + -7r = -30 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
26 + -7r + 14r = -30 + -14r + 14r

Combine like terms: -7r + 14r = 7r
26 + 7r = -30 + -14r + 14r

Combine like terms: -14r + 14r = 0
26 + 7r = -30 + 0
26 + 7r = -30

Add '-26' to each side of the equation.
26 + -26 + 7r = -30 + -26

Combine like terms: 26 + -26 = 0
0 + 7r = -30 + -26
7r = -30 + -26

Combine like terms: -30 + -26 = -56
7r = -56

Divide each side by '7'.
r = -8

Simplifying
r = -8

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