3r+5(-r+2)=4r+6

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Solution for 3r+5(-r+2)=4r+6 equation:


Simplifying
3r + 5(-1r + 2) = 4r + 6

Reorder the terms:
3r + 5(2 + -1r) = 4r + 6
3r + (2 * 5 + -1r * 5) = 4r + 6
3r + (10 + -5r) = 4r + 6

Reorder the terms:
10 + 3r + -5r = 4r + 6

Combine like terms: 3r + -5r = -2r
10 + -2r = 4r + 6

Reorder the terms:
10 + -2r = 6 + 4r

Solving
10 + -2r = 6 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
10 + -2r + -4r = 6 + 4r + -4r

Combine like terms: -2r + -4r = -6r
10 + -6r = 6 + 4r + -4r

Combine like terms: 4r + -4r = 0
10 + -6r = 6 + 0
10 + -6r = 6

Add '-10' to each side of the equation.
10 + -10 + -6r = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -6r = 6 + -10
-6r = 6 + -10

Combine like terms: 6 + -10 = -4
-6r = -4

Divide each side by '-6'.
r = 0.6666666667

Simplifying
r = 0.6666666667

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