4(r-6)+2=5(r+2)-27

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Solution for 4(r-6)+2=5(r+2)-27 equation:


Simplifying
4(r + -6) + 2 = 5(r + 2) + -27

Reorder the terms:
4(-6 + r) + 2 = 5(r + 2) + -27
(-6 * 4 + r * 4) + 2 = 5(r + 2) + -27
(-24 + 4r) + 2 = 5(r + 2) + -27

Reorder the terms:
-24 + 2 + 4r = 5(r + 2) + -27

Combine like terms: -24 + 2 = -22
-22 + 4r = 5(r + 2) + -27

Reorder the terms:
-22 + 4r = 5(2 + r) + -27
-22 + 4r = (2 * 5 + r * 5) + -27
-22 + 4r = (10 + 5r) + -27

Reorder the terms:
-22 + 4r = 10 + -27 + 5r

Combine like terms: 10 + -27 = -17
-22 + 4r = -17 + 5r

Solving
-22 + 4r = -17 + 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.
-22 + 4r + -5r = -17 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-22 + -1r = -17 + 5r + -5r

Combine like terms: 5r + -5r = 0
-22 + -1r = -17 + 0
-22 + -1r = -17

Add '22' to each side of the equation.
-22 + 22 + -1r = -17 + 22

Combine like terms: -22 + 22 = 0
0 + -1r = -17 + 22
-1r = -17 + 22

Combine like terms: -17 + 22 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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