2(5r+5)=(3r-1)

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Solution for 2(5r+5)=(3r-1) equation:


Simplifying
2(5r + 5) = (3r + -1)

Reorder the terms:
2(5 + 5r) = (3r + -1)
(5 * 2 + 5r * 2) = (3r + -1)
(10 + 10r) = (3r + -1)

Reorder the terms:
10 + 10r = (-1 + 3r)

Remove parenthesis around (-1 + 3r)
10 + 10r = -1 + 3r

Solving
10 + 10r = -1 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
10 + 10r + -3r = -1 + 3r + -3r

Combine like terms: 10r + -3r = 7r
10 + 7r = -1 + 3r + -3r

Combine like terms: 3r + -3r = 0
10 + 7r = -1 + 0
10 + 7r = -1

Add '-10' to each side of the equation.
10 + -10 + 7r = -1 + -10

Combine like terms: 10 + -10 = 0
0 + 7r = -1 + -10
7r = -1 + -10

Combine like terms: -1 + -10 = -11
7r = -11

Divide each side by '7'.
r = -1.571428571

Simplifying
r = -1.571428571

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