r-17m-8=3(2r-4m)-5(m+3-r)

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Solution for r-17m-8=3(2r-4m)-5(m+3-r) equation: 


Simplifying
r + -17m + -8 = 3(2r + -4m) + -5(m + 3 + -1r)

Reorder the terms:
-8 + -17m + r = 3(2r + -4m) + -5(m + 3 + -1r)

Reorder the terms:
-8 + -17m + r = 3(-4m + 2r) + -5(m + 3 + -1r)
-8 + -17m + r = (-4m * 3 + 2r * 3) + -5(m + 3 + -1r)
-8 + -17m + r = (-12m + 6r) + -5(m + 3 + -1r)

Reorder the terms:
-8 + -17m + r = -12m + 6r + -5(3 + m + -1r)
-8 + -17m + r = -12m + 6r + (3 * -5 + m * -5 + -1r * -5)
-8 + -17m + r = -12m + 6r + (-15 + -5m + 5r)

Reorder the terms:
-8 + -17m + r = -15 + -12m + -5m + 6r + 5r

Combine like terms: -12m + -5m = -17m
-8 + -17m + r = -15 + -17m + 6r + 5r

Combine like terms: 6r + 5r = 11r
-8 + -17m + r = -15 + -17m + 11r

Add '17m' to each side of the equation.
-8 + -17m + 17m + r = -15 + -17m + 17m + 11r

Combine like terms: -17m + 17m = 0
-8 + 0 + r = -15 + -17m + 17m + 11r
-8 + r = -15 + -17m + 17m + 11r

Combine like terms: -17m + 17m = 0
-8 + r = -15 + 0 + 11r
-8 + r = -15 + 11r

Solving
-8 + r = -15 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
-8 + r + -11r = -15 + 11r + -11r

Combine like terms: r + -11r = -10r
-8 + -10r = -15 + 11r + -11r

Combine like terms: 11r + -11r = 0
-8 + -10r = -15 + 0
-8 + -10r = -15

Add '8' to each side of the equation.
-8 + 8 + -10r = -15 + 8

Combine like terms: -8 + 8 = 0
0 + -10r = -15 + 8
-10r = -15 + 8

Combine like terms: -15 + 8 = -7
-10r = -7

Divide each side by '-10'.
r = 0.7

Simplifying
r = 0.7

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