(r-6)+5r+(3r-3)=180

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Solution for (r-6)+5r+(3r-3)=180 equation:


Simplifying
(r + -6) + 5r + (3r + -3) = 180

Reorder the terms:
(-6 + r) + 5r + (3r + -3) = 180

Remove parenthesis around (-6 + r)
-6 + r + 5r + (3r + -3) = 180

Reorder the terms:
-6 + r + 5r + (-3 + 3r) = 180

Remove parenthesis around (-3 + 3r)
-6 + r + 5r + -3 + 3r = 180

Reorder the terms:
-6 + -3 + r + 5r + 3r = 180

Combine like terms: -6 + -3 = -9
-9 + r + 5r + 3r = 180

Combine like terms: r + 5r = 6r
-9 + 6r + 3r = 180

Combine like terms: 6r + 3r = 9r
-9 + 9r = 180

Solving
-9 + 9r = 180

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 9r = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 9r = 180 + 9
9r = 180 + 9

Combine like terms: 180 + 9 = 189
9r = 189

Divide each side by '9'.
r = 21

Simplifying
r = 21

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