7a(x+3y)-b(x+3y)=

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Solution for 7a(x+3y)-b(x+3y)= equation:


Simplifying
7a(x + 3y) + -1b(x + 3y) = 0
(x * 7a + 3y * 7a) + -1b(x + 3y) = 0
(7ax + 21ay) + -1b(x + 3y) = 0
7ax + 21ay + (x * -1b + 3y * -1b) = 0
7ax + 21ay + (-1bx + -3by) = 0

Solving
7ax + 21ay + -1bx + -3by = 0

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
7ax + 21ay + -1bx + bx + -3by = 0 + bx

Combine like terms: -1bx + bx = 0
7ax + 21ay + 0 + -3by = 0 + bx
7ax + 21ay + -3by = 0 + bx
Remove the zero:
7ax + 21ay + -3by = bx

Add '3by' to each side of the equation.
7ax + 21ay + -3by + 3by = bx + 3by

Combine like terms: -3by + 3by = 0
7ax + 21ay + 0 = bx + 3by
7ax + 21ay = bx + 3by

Reorder the terms:
7ax + 21ay + -1bx + -3by = bx + -1bx + 3by + -3by

Combine like terms: bx + -1bx = 0
7ax + 21ay + -1bx + -3by = 0 + 3by + -3by
7ax + 21ay + -1bx + -3by = 3by + -3by

Combine like terms: 3by + -3by = 0
7ax + 21ay + -1bx + -3by = 0

The solution to this equation could not be determined.

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