6(x-y)-3(3x+t)=

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Solution for 6(x-y)-3(3x+t)= equation:


Simplifying
6(x + -1y) + -3(3x + t) = 0
(x * 6 + -1y * 6) + -3(3x + t) = 0
(6x + -6y) + -3(3x + t) = 0

Reorder the terms:
6x + -6y + -3(t + 3x) = 0
6x + -6y + (t * -3 + 3x * -3) = 0
6x + -6y + (-3t + -9x) = 0

Reorder the terms:
-3t + 6x + -9x + -6y = 0

Combine like terms: 6x + -9x = -3x
-3t + -3x + -6y = 0

Solving
-3t + -3x + -6y = 0

Solving for variable 't'.

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

Add '3x' to each side of the equation.
-3t + -3x + 3x + -6y = 0 + 3x

Combine like terms: -3x + 3x = 0
-3t + 0 + -6y = 0 + 3x
-3t + -6y = 0 + 3x
Remove the zero:
-3t + -6y = 3x

Add '6y' to each side of the equation.
-3t + -6y + 6y = 3x + 6y

Combine like terms: -6y + 6y = 0
-3t + 0 = 3x + 6y
-3t = 3x + 6y

Divide each side by '-3'.
t = -1x + -2y

Simplifying
t = -1x + -2y

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