6+3(2r-5)-3(4r+2)-10=

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Solution for 6+3(2r-5)-3(4r+2)-10= equation: 


Simplifying
6 + 3(2r + -5) + -3(4r + 2) + -10 = 0

Reorder the terms:
6 + 3(-5 + 2r) + -3(4r + 2) + -10 = 0
6 + (-5 * 3 + 2r * 3) + -3(4r + 2) + -10 = 0
6 + (-15 + 6r) + -3(4r + 2) + -10 = 0

Reorder the terms:
6 + -15 + 6r + -3(2 + 4r) + -10 = 0
6 + -15 + 6r + (2 * -3 + 4r * -3) + -10 = 0
6 + -15 + 6r + (-6 + -12r) + -10 = 0

Reorder the terms:
6 + -15 + -6 + -10 + 6r + -12r = 0

Combine like terms: 6 + -15 = -9
-9 + -6 + -10 + 6r + -12r = 0

Combine like terms: -9 + -6 = -15
-15 + -10 + 6r + -12r = 0

Combine like terms: -15 + -10 = -25
-25 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-25 + -6r = 0

Solving
-25 + -6r = 0

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + -6r = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6r = 0 + 25
-6r = 0 + 25

Combine like terms: 0 + 25 = 25
-6r = 25

Divide each side by '-6'.
r = -4.166666667

Simplifying
r = -4.166666667

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