6r-r+8(15-r)+23-6=

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Solution for 6r-r+8(15-r)+23-6= equation:


Simplifying
6r + -1r + 8(15 + -1r) + 23 + -6 = 0
6r + -1r + (15 * 8 + -1r * 8) + 23 + -6 = 0
6r + -1r + (120 + -8r) + 23 + -6 = 0

Reorder the terms:
120 + 23 + -6 + 6r + -1r + -8r = 0

Combine like terms: 120 + 23 = 143
143 + -6 + 6r + -1r + -8r = 0

Combine like terms: 143 + -6 = 137
137 + 6r + -1r + -8r = 0

Combine like terms: 6r + -1r = 5r
137 + 5r + -8r = 0

Combine like terms: 5r + -8r = -3r
137 + -3r = 0

Solving
137 + -3r = 0

Solving for variable 'r'.

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

Add '-137' to each side of the equation.
137 + -137 + -3r = 0 + -137

Combine like terms: 137 + -137 = 0
0 + -3r = 0 + -137
-3r = 0 + -137

Combine like terms: 0 + -137 = -137
-3r = -137

Divide each side by '-3'.
r = 45.66666667

Simplifying
r = 45.66666667

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