-7r+3t-s-r+12s+4t-t+5s-r=

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Solution for -7r+3t-s-r+12s+4t-t+5s-r= equation:


Simplifying
-7r + 3t + -1s + -1r + 12s + 4t + -1t + 5s + -1r = 0

Reorder the terms:
-7r + -1r + -1r + -1s + 12s + 5s + 3t + 4t + -1t = 0

Combine like terms: -7r + -1r = -8r
-8r + -1r + -1s + 12s + 5s + 3t + 4t + -1t = 0

Combine like terms: -8r + -1r = -9r
-9r + -1s + 12s + 5s + 3t + 4t + -1t = 0

Combine like terms: -1s + 12s = 11s
-9r + 11s + 5s + 3t + 4t + -1t = 0

Combine like terms: 11s + 5s = 16s
-9r + 16s + 3t + 4t + -1t = 0

Combine like terms: 3t + 4t = 7t
-9r + 16s + 7t + -1t = 0

Combine like terms: 7t + -1t = 6t
-9r + 16s + 6t = 0

Solving
-9r + 16s + 6t = 0

Solving for variable 'r'.

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

Add '-16s' to each side of the equation.
-9r + 16s + -16s + 6t = 0 + -16s

Combine like terms: 16s + -16s = 0
-9r + 0 + 6t = 0 + -16s
-9r + 6t = 0 + -16s
Remove the zero:
-9r + 6t = -16s

Add '-6t' to each side of the equation.
-9r + 6t + -6t = -16s + -6t

Combine like terms: 6t + -6t = 0
-9r + 0 = -16s + -6t
-9r = -16s + -6t

Divide each side by '-9'.
r = 1.777777778s + 0.6666666667t

Simplifying
r = 1.777777778s + 0.6666666667t

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