9r-3(r+5)=5(4r-6)-27

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Solution for 9r-3(r+5)=5(4r-6)-27 equation:


Simplifying
9r + -3(r + 5) = 5(4r + -6) + -27

Reorder the terms:
9r + -3(5 + r) = 5(4r + -6) + -27
9r + (5 * -3 + r * -3) = 5(4r + -6) + -27
9r + (-15 + -3r) = 5(4r + -6) + -27

Reorder the terms:
-15 + 9r + -3r = 5(4r + -6) + -27

Combine like terms: 9r + -3r = 6r
-15 + 6r = 5(4r + -6) + -27

Reorder the terms:
-15 + 6r = 5(-6 + 4r) + -27
-15 + 6r = (-6 * 5 + 4r * 5) + -27
-15 + 6r = (-30 + 20r) + -27

Reorder the terms:
-15 + 6r = -30 + -27 + 20r

Combine like terms: -30 + -27 = -57
-15 + 6r = -57 + 20r

Solving
-15 + 6r = -57 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
-15 + 6r + -20r = -57 + 20r + -20r

Combine like terms: 6r + -20r = -14r
-15 + -14r = -57 + 20r + -20r

Combine like terms: 20r + -20r = 0
-15 + -14r = -57 + 0
-15 + -14r = -57

Add '15' to each side of the equation.
-15 + 15 + -14r = -57 + 15

Combine like terms: -15 + 15 = 0
0 + -14r = -57 + 15
-14r = -57 + 15

Combine like terms: -57 + 15 = -42
-14r = -42

Divide each side by '-14'.
r = 3

Simplifying
r = 3

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