(r+2)+(6r+8)+(4t-5)+(3r+1)=180

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Solution for (r+2)+(6r+8)+(4t-5)+(3r+1)=180 equation: 


Simplifying
(r + 2) + (6r + 8) + (4t + -5) + (3r + 1) = 180

Reorder the terms:
(2 + r) + (6r + 8) + (4t + -5) + (3r + 1) = 180

Remove parenthesis around (2 + r)
2 + r + (6r + 8) + (4t + -5) + (3r + 1) = 180

Reorder the terms:
2 + r + (8 + 6r) + (4t + -5) + (3r + 1) = 180

Remove parenthesis around (8 + 6r)
2 + r + 8 + 6r + (4t + -5) + (3r + 1) = 180

Reorder the terms:
2 + r + 8 + 6r + (-5 + 4t) + (3r + 1) = 180

Remove parenthesis around (-5 + 4t)
2 + r + 8 + 6r + -5 + 4t + (3r + 1) = 180

Reorder the terms:
2 + r + 8 + 6r + -5 + 4t + (1 + 3r) = 180

Remove parenthesis around (1 + 3r)
2 + r + 8 + 6r + -5 + 4t + 1 + 3r = 180

Reorder the terms:
2 + 8 + -5 + 1 + r + 6r + 3r + 4t = 180

Combine like terms: 2 + 8 = 10
10 + -5 + 1 + r + 6r + 3r + 4t = 180

Combine like terms: 10 + -5 = 5
5 + 1 + r + 6r + 3r + 4t = 180

Combine like terms: 5 + 1 = 6
6 + r + 6r + 3r + 4t = 180

Combine like terms: r + 6r = 7r
6 + 7r + 3r + 4t = 180

Combine like terms: 7r + 3r = 10r
6 + 10r + 4t = 180

Solving
6 + 10r + 4t = 180

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + 10r + -6 + 4t = 180 + -6

Reorder the terms:
6 + -6 + 10r + 4t = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 10r + 4t = 180 + -6
10r + 4t = 180 + -6

Combine like terms: 180 + -6 = 174
10r + 4t = 174

Add '-4t' to each side of the equation.
10r + 4t + -4t = 174 + -4t

Combine like terms: 4t + -4t = 0
10r + 0 = 174 + -4t
10r = 174 + -4t

Divide each side by '10'.
r = 17.4 + -0.4t

Simplifying
r = 17.4 + -0.4t

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