(a-b+c)(-5)-61a=

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Solution for (a-b+c)(-5)-61a= equation:


Simplifying
(a + -1b + c)(-5) + -61a = 0

Reorder the terms for easier multiplication:
-5(a + -1b + c) + -61a = 0
(a * -5 + -1b * -5 + c * -5) + -61a = 0
(-5a + 5b + -5c) + -61a = 0

Reorder the terms:
-5a + -61a + 5b + -5c = 0

Combine like terms: -5a + -61a = -66a
-66a + 5b + -5c = 0

Solving
-66a + 5b + -5c = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
-66a + 5b + -5b + -5c = 0 + -5b

Combine like terms: 5b + -5b = 0
-66a + 0 + -5c = 0 + -5b
-66a + -5c = 0 + -5b
Remove the zero:
-66a + -5c = -5b

Add '5c' to each side of the equation.
-66a + -5c + 5c = -5b + 5c

Combine like terms: -5c + 5c = 0
-66a + 0 = -5b + 5c
-66a = -5b + 5c

Divide each side by '-66'.
a = 0.07575757576b + -0.07575757576c

Simplifying
a = 0.07575757576b + -0.07575757576c

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