-2(3r-9)-4(r-6)-13r=

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Solution for -2(3r-9)-4(r-6)-13r= equation:


Simplifying
-2(3r + -9) + -4(r + -6) + -13r = 0

Reorder the terms:
-2(-9 + 3r) + -4(r + -6) + -13r = 0
(-9 * -2 + 3r * -2) + -4(r + -6) + -13r = 0
(18 + -6r) + -4(r + -6) + -13r = 0

Reorder the terms:
18 + -6r + -4(-6 + r) + -13r = 0
18 + -6r + (-6 * -4 + r * -4) + -13r = 0
18 + -6r + (24 + -4r) + -13r = 0

Reorder the terms:
18 + 24 + -6r + -4r + -13r = 0

Combine like terms: 18 + 24 = 42
42 + -6r + -4r + -13r = 0

Combine like terms: -6r + -4r = -10r
42 + -10r + -13r = 0

Combine like terms: -10r + -13r = -23r
42 + -23r = 0

Solving
42 + -23r = 0

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + -42 + -23r = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -23r = 0 + -42
-23r = 0 + -42

Combine like terms: 0 + -42 = -42
-23r = -42

Divide each side by '-23'.
r = 1.826086957

Simplifying
r = 1.826086957

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