27-3r=4(r+3)-2r

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Solution for 27-3r=4(r+3)-2r equation:


Simplifying
27 + -3r = 4(r + 3) + -2r

Reorder the terms:
27 + -3r = 4(3 + r) + -2r
27 + -3r = (3 * 4 + r * 4) + -2r
27 + -3r = (12 + 4r) + -2r

Combine like terms: 4r + -2r = 2r
27 + -3r = 12 + 2r

Solving
27 + -3r = 12 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
27 + -3r + -2r = 12 + 2r + -2r

Combine like terms: -3r + -2r = -5r
27 + -5r = 12 + 2r + -2r

Combine like terms: 2r + -2r = 0
27 + -5r = 12 + 0
27 + -5r = 12

Add '-27' to each side of the equation.
27 + -27 + -5r = 12 + -27

Combine like terms: 27 + -27 = 0
0 + -5r = 12 + -27
-5r = 12 + -27

Combine like terms: 12 + -27 = -15
-5r = -15

Divide each side by '-5'.
r = 3

Simplifying
r = 3

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