3+3(2r-8)-3(4r+5)-10=

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Solution for 3+3(2r-8)-3(4r+5)-10= equation: 


Simplifying
3 + 3(2r + -8) + -3(4r + 5) + -10 = 0

Reorder the terms:
3 + 3(-8 + 2r) + -3(4r + 5) + -10 = 0
3 + (-8 * 3 + 2r * 3) + -3(4r + 5) + -10 = 0
3 + (-24 + 6r) + -3(4r + 5) + -10 = 0

Reorder the terms:
3 + -24 + 6r + -3(5 + 4r) + -10 = 0
3 + -24 + 6r + (5 * -3 + 4r * -3) + -10 = 0
3 + -24 + 6r + (-15 + -12r) + -10 = 0

Reorder the terms:
3 + -24 + -15 + -10 + 6r + -12r = 0

Combine like terms: 3 + -24 = -21
-21 + -15 + -10 + 6r + -12r = 0

Combine like terms: -21 + -15 = -36
-36 + -10 + 6r + -12r = 0

Combine like terms: -36 + -10 = -46
-46 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-46 + -6r = 0

Solving
-46 + -6r = 0

Solving for variable 'r'.

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

Add '46' to each side of the equation.
-46 + 46 + -6r = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -6r = 0 + 46
-6r = 0 + 46

Combine like terms: 0 + 46 = 46
-6r = 46

Divide each side by '-6'.
r = -7.666666667

Simplifying
r = -7.666666667

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