6r+5(10r+6)=11-5(1-11r)

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Solution for 6r+5(10r+6)=11-5(1-11r) equation:


Simplifying
6r + 5(10r + 6) = 11 + -5(1 + -11r)

Reorder the terms:
6r + 5(6 + 10r) = 11 + -5(1 + -11r)
6r + (6 * 5 + 10r * 5) = 11 + -5(1 + -11r)
6r + (30 + 50r) = 11 + -5(1 + -11r)

Reorder the terms:
30 + 6r + 50r = 11 + -5(1 + -11r)

Combine like terms: 6r + 50r = 56r
30 + 56r = 11 + -5(1 + -11r)
30 + 56r = 11 + (1 * -5 + -11r * -5)
30 + 56r = 11 + (-5 + 55r)

Combine like terms: 11 + -5 = 6
30 + 56r = 6 + 55r

Solving
30 + 56r = 6 + 55r

Solving for variable 'r'.

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

Add '-55r' to each side of the equation.
30 + 56r + -55r = 6 + 55r + -55r

Combine like terms: 56r + -55r = 1r
30 + 1r = 6 + 55r + -55r

Combine like terms: 55r + -55r = 0
30 + 1r = 6 + 0
30 + 1r = 6

Add '-30' to each side of the equation.
30 + -30 + 1r = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 1r = 6 + -30
1r = 6 + -30

Combine like terms: 6 + -30 = -24
1r = -24

Divide each side by '1'.
r = -24

Simplifying
r = -24

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