-3r+5r=-9(r-1)-2(1-2r)

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Solution for -3r+5r=-9(r-1)-2(1-2r) equation: 


Simplifying
-3r + 5r = -9(r + -1) + -2(1 + -2r)

Combine like terms: -3r + 5r = 2r
2r = -9(r + -1) + -2(1 + -2r)

Reorder the terms:
2r = -9(-1 + r) + -2(1 + -2r)
2r = (-1 * -9 + r * -9) + -2(1 + -2r)
2r = (9 + -9r) + -2(1 + -2r)
2r = 9 + -9r + (1 * -2 + -2r * -2)
2r = 9 + -9r + (-2 + 4r)

Reorder the terms:
2r = 9 + -2 + -9r + 4r

Combine like terms: 9 + -2 = 7
2r = 7 + -9r + 4r

Combine like terms: -9r + 4r = -5r
2r = 7 + -5r

Solving
2r = 7 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
2r + 5r = 7 + -5r + 5r

Combine like terms: 2r + 5r = 7r
7r = 7 + -5r + 5r

Combine like terms: -5r + 5r = 0
7r = 7 + 0
7r = 7

Divide each side by '7'.
r = 1

Simplifying
r = 1

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