3b(5a-c)-d(5a-c)=

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


Simplifying
3b(5a + -1c) + -1d(5a + -1c) = 0
(5a * 3b + -1c * 3b) + -1d(5a + -1c) = 0
(15ab + -3bc) + -1d(5a + -1c) = 0
15ab + -3bc + (5a * -1d + -1c * -1d) = 0
15ab + -3bc + (-5ad + 1cd) = 0

Reorder the terms:
15ab + -5ad + -3bc + 1cd = 0

Solving
15ab + -5ad + -3bc + 1cd = 0

Solving for variable 'a'.

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

Add '3bc' to each side of the equation.
15ab + -5ad + -3bc + 3bc + 1cd = 0 + 3bc

Combine like terms: -3bc + 3bc = 0
15ab + -5ad + 0 + 1cd = 0 + 3bc
15ab + -5ad + 1cd = 0 + 3bc
Remove the zero:
15ab + -5ad + 1cd = 3bc

Add '-1cd' to each side of the equation.
15ab + -5ad + 1cd + -1cd = 3bc + -1cd

Combine like terms: 1cd + -1cd = 0
15ab + -5ad + 0 = 3bc + -1cd
15ab + -5ad = 3bc + -1cd

Reorder the terms:
15ab + -5ad + -3bc + cd = 3bc + -3bc + -1cd + cd

Combine like terms: 3bc + -3bc = 0
15ab + -5ad + -3bc + cd = 0 + -1cd + cd
15ab + -5ad + -3bc + cd = -1cd + cd

Combine like terms: -1cd + cd = 0
15ab + -5ad + -3bc + cd = 0

The solution to this equation could not be determined.

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