3(a-5c)-4(b-a)+3(c-b)=

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Solution for 3(a-5c)-4(b-a)+3(c-b)= equation:


Simplifying
3(a + -5c) + -4(b + -1a) + 3(c + -1b) = 0
(a * 3 + -5c * 3) + -4(b + -1a) + 3(c + -1b) = 0
(3a + -15c) + -4(b + -1a) + 3(c + -1b) = 0

Reorder the terms:
3a + -15c + -4(-1a + b) + 3(c + -1b) = 0
3a + -15c + (-1a * -4 + b * -4) + 3(c + -1b) = 0
3a + -15c + (4a + -4b) + 3(c + -1b) = 0

Reorder the terms:
3a + -15c + 4a + -4b + 3(-1b + c) = 0
3a + -15c + 4a + -4b + (-1b * 3 + c * 3) = 0
3a + -15c + 4a + -4b + (-3b + 3c) = 0

Reorder the terms:
3a + 4a + -4b + -3b + -15c + 3c = 0

Combine like terms: 3a + 4a = 7a
7a + -4b + -3b + -15c + 3c = 0

Combine like terms: -4b + -3b = -7b
7a + -7b + -15c + 3c = 0

Combine like terms: -15c + 3c = -12c
7a + -7b + -12c = 0

Solving
7a + -7b + -12c = 0

Solving for variable 'a'.

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

Add '7b' to each side of the equation.
7a + -7b + 7b + -12c = 0 + 7b

Combine like terms: -7b + 7b = 0
7a + 0 + -12c = 0 + 7b
7a + -12c = 0 + 7b
Remove the zero:
7a + -12c = 7b

Add '12c' to each side of the equation.
7a + -12c + 12c = 7b + 12c

Combine like terms: -12c + 12c = 0
7a + 0 = 7b + 12c
7a = 7b + 12c

Divide each side by '7'.
a = b + 1.714285714c

Simplifying
a = b + 1.714285714c

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