6(r-5)-r=122-3(4+3r)

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Solution for 6(r-5)-r=122-3(4+3r) equation: 


Simplifying
6(r + -5) + -1r = 122 + -3(4 + 3r)

Reorder the terms:
6(-5 + r) + -1r = 122 + -3(4 + 3r)
(-5 * 6 + r * 6) + -1r = 122 + -3(4 + 3r)
(-30 + 6r) + -1r = 122 + -3(4 + 3r)

Combine like terms: 6r + -1r = 5r
-30 + 5r = 122 + -3(4 + 3r)
-30 + 5r = 122 + (4 * -3 + 3r * -3)
-30 + 5r = 122 + (-12 + -9r)

Combine like terms: 122 + -12 = 110
-30 + 5r = 110 + -9r

Solving
-30 + 5r = 110 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
-30 + 5r + 9r = 110 + -9r + 9r

Combine like terms: 5r + 9r = 14r
-30 + 14r = 110 + -9r + 9r

Combine like terms: -9r + 9r = 0
-30 + 14r = 110 + 0
-30 + 14r = 110

Add '30' to each side of the equation.
-30 + 30 + 14r = 110 + 30

Combine like terms: -30 + 30 = 0
0 + 14r = 110 + 30
14r = 110 + 30

Combine like terms: 110 + 30 = 140
14r = 140

Divide each side by '14'.
r = 10

Simplifying
r = 10

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