5(4a-3b)+4(2a-2b)=c

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Solution for 5(4a-3b)+4(2a-2b)=c equation:


Simplifying
5(4a + -3b) + 4(2a + -2b) = c
(4a * 5 + -3b * 5) + 4(2a + -2b) = c
(20a + -15b) + 4(2a + -2b) = c
20a + -15b + (2a * 4 + -2b * 4) = c
20a + -15b + (8a + -8b) = c

Reorder the terms:
20a + 8a + -15b + -8b = c

Combine like terms: 20a + 8a = 28a
28a + -15b + -8b = c

Combine like terms: -15b + -8b = -23b
28a + -23b = c

Solving
28a + -23b = c

Solving for variable 'a'.

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

Add '23b' to each side of the equation.
28a + -23b + 23b = 23b + c

Combine like terms: -23b + 23b = 0
28a + 0 = 23b + c
28a = 23b + c

Divide each side by '28'.
a = 0.8214285714b + 0.03571428571c

Simplifying
a = 0.8214285714b + 0.03571428571c

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