-7r+6t-s-5r+s+4t-6t+5s-r=

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Solution for -7r+6t-s-5r+s+4t-6t+5s-r= equation:


Simplifying
-7r + 6t + -1s + -5r + s + 4t + -6t + 5s + -1r = 0

Reorder the terms:
-7r + -5r + -1r + -1s + s + 5s + 6t + 4t + -6t = 0

Combine like terms: -7r + -5r = -12r
-12r + -1r + -1s + s + 5s + 6t + 4t + -6t = 0

Combine like terms: -12r + -1r = -13r
-13r + -1s + s + 5s + 6t + 4t + -6t = 0

Combine like terms: -1s + s = 0
-13r + 0 + 5s + 6t + 4t + -6t = 0
-13r + 5s + 6t + 4t + -6t = 0

Combine like terms: 6t + 4t = 10t
-13r + 5s + 10t + -6t = 0

Combine like terms: 10t + -6t = 4t
-13r + 5s + 4t = 0

Solving
-13r + 5s + 4t = 0

Solving for variable 'r'.

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

Add '-5s' to each side of the equation.
-13r + 5s + -5s + 4t = 0 + -5s

Combine like terms: 5s + -5s = 0
-13r + 0 + 4t = 0 + -5s
-13r + 4t = 0 + -5s
Remove the zero:
-13r + 4t = -5s

Add '-4t' to each side of the equation.
-13r + 4t + -4t = -5s + -4t

Combine like terms: 4t + -4t = 0
-13r + 0 = -5s + -4t
-13r = -5s + -4t

Divide each side by '-13'.
r = 0.3846153846s + 0.3076923077t

Simplifying
r = 0.3846153846s + 0.3076923077t

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