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

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


Simplifying
-4(3a + -5) = 4(2 + -2a) + 4

Reorder the terms:
-4(-5 + 3a) = 4(2 + -2a) + 4
(-5 * -4 + 3a * -4) = 4(2 + -2a) + 4
(20 + -12a) = 4(2 + -2a) + 4
20 + -12a = (2 * 4 + -2a * 4) + 4
20 + -12a = (8 + -8a) + 4

Reorder the terms:
20 + -12a = 8 + 4 + -8a

Combine like terms: 8 + 4 = 12
20 + -12a = 12 + -8a

Solving
20 + -12a = 12 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
20 + -12a + 8a = 12 + -8a + 8a

Combine like terms: -12a + 8a = -4a
20 + -4a = 12 + -8a + 8a

Combine like terms: -8a + 8a = 0
20 + -4a = 12 + 0
20 + -4a = 12

Add '-20' to each side of the equation.
20 + -20 + -4a = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -4a = 12 + -20
-4a = 12 + -20

Combine like terms: 12 + -20 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2

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