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

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


Simplifying
4 + 3(2r + -5) + -3(4r + 6) + -8 = 0

Reorder the terms:
4 + 3(-5 + 2r) + -3(4r + 6) + -8 = 0
4 + (-5 * 3 + 2r * 3) + -3(4r + 6) + -8 = 0
4 + (-15 + 6r) + -3(4r + 6) + -8 = 0

Reorder the terms:
4 + -15 + 6r + -3(6 + 4r) + -8 = 0
4 + -15 + 6r + (6 * -3 + 4r * -3) + -8 = 0
4 + -15 + 6r + (-18 + -12r) + -8 = 0

Reorder the terms:
4 + -15 + -18 + -8 + 6r + -12r = 0

Combine like terms: 4 + -15 = -11
-11 + -18 + -8 + 6r + -12r = 0

Combine like terms: -11 + -18 = -29
-29 + -8 + 6r + -12r = 0

Combine like terms: -29 + -8 = -37
-37 + 6r + -12r = 0

Combine like terms: 6r + -12r = -6r
-37 + -6r = 0

Solving
-37 + -6r = 0

Solving for variable 'r'.

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

Add '37' to each side of the equation.
-37 + 37 + -6r = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -6r = 0 + 37
-6r = 0 + 37

Combine like terms: 0 + 37 = 37
-6r = 37

Divide each side by '-6'.
r = -6.166666667

Simplifying
r = -6.166666667

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