26+r=-5(2+8r)+6r

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Solution for 26+r=-5(2+8r)+6r equation:


Simplifying
26 + r = -5(2 + 8r) + 6r
26 + r = (2 * -5 + 8r * -5) + 6r
26 + r = (-10 + -40r) + 6r

Combine like terms: -40r + 6r = -34r
26 + r = -10 + -34r

Solving
26 + r = -10 + -34r

Solving for variable 'r'.

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

Add '34r' to each side of the equation.
26 + r + 34r = -10 + -34r + 34r

Combine like terms: r + 34r = 35r
26 + 35r = -10 + -34r + 34r

Combine like terms: -34r + 34r = 0
26 + 35r = -10 + 0
26 + 35r = -10

Add '-26' to each side of the equation.
26 + -26 + 35r = -10 + -26

Combine like terms: 26 + -26 = 0
0 + 35r = -10 + -26
35r = -10 + -26

Combine like terms: -10 + -26 = -36
35r = -36

Divide each side by '35'.
r = -1.028571429

Simplifying
r = -1.028571429

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