3r+2(1-r)=3r+10(1-r)

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Solution for 3r+2(1-r)=3r+10(1-r) equation: 


Simplifying
3r + 2(1 + -1r) = 3r + 10(1 + -1r)
3r + (1 * 2 + -1r * 2) = 3r + 10(1 + -1r)
3r + (2 + -2r) = 3r + 10(1 + -1r)

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

Combine like terms: 3r + -2r = 1r
2 + 1r = 3r + 10(1 + -1r)
2 + 1r = 3r + (1 * 10 + -1r * 10)
2 + 1r = 3r + (10 + -10r)

Reorder the terms:
2 + 1r = 10 + 3r + -10r

Combine like terms: 3r + -10r = -7r
2 + 1r = 10 + -7r

Solving
2 + 1r = 10 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
2 + 1r + 7r = 10 + -7r + 7r

Combine like terms: 1r + 7r = 8r
2 + 8r = 10 + -7r + 7r

Combine like terms: -7r + 7r = 0
2 + 8r = 10 + 0
2 + 8r = 10

Add '-2' to each side of the equation.
2 + -2 + 8r = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8r = 10 + -2
8r = 10 + -2

Combine like terms: 10 + -2 = 8
8r = 8

Divide each side by '8'.
r = 1

Simplifying
r = 1

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